site stats

In an ap sum of first 10 terms is-150

WebSolution 1 Here , a = 2 , l= 29 and s n = 155 Let d be the common difference of the given AP and n be the total number of terms. Then, T n = 29 ⇒ a + (n-1) d = 29 ⇒ 2 + (n-1) d= 29 .............. (1) The sum of n terms of an AP is given by s n = n 2 [ a + l] = 155 ⇒ n 2 [ 2 + 29] = ( n 2) × 31 = 155 ⇒ n = 10 Putting the value of n in (i), we get: WebTherefore, the sum of above AP series is 1 + 2 + 3 + 4 + . . . + 4,999 + 5,000 = 12,502,500. It's very useful function in mathematics to find the sum of series that having large set of numbers that follows arithmetic progression. …

In an AP the sum of first ten terms is 150 and the sum of its next 10 …

WebApr 8, 2024 · Given sum of first ten terms = $ - 150$ We know that Sum of n terms of AP ${S_n} = \dfrac{n}{2}[2a + (n - 1)d]$ Therefore, $\ \Rightarrow {S_{10}} = \dfrac{{10}}{2}[2a … WebMar 27, 2024 · C. I Frequency 10 vicle, me ACB be 0-15 15-30 30-45 45-60 ore than type ogive' for the given data. 18 40 20 60-75 12 29) The sum of the reciprocals of Rehman's ages 3years ago and 5 years from now is Find his present age. top gun maverick rancho mirage https://milton-around-the-world.com

In an AP the sum of first ten terms is 150 and the sum of its next 10

WebIn the given AP, the first term is a = 7 and the common difference is d = 4. Let us assume that 301 is the n th term of AP. Then: T n = a + (n - 1)d 301 = 7 + (n - 1) 4 301 = 7 + 4n - 4 301 = 4n + 3 298 = 4n n = 74.5 But 'n' must be an integer. Hence 301 cannot be a term of the given AP. Answer: 301 cannot be a term of the given AP. WebApr 11, 2024 · Given the sum of the first 10 terms of an AP is -150 and the sum of the next ten terms which means Sum of first 20 terms-Sum of first 10 terms is -530.. Let the first term, common difference of the AP be a and d respectively. Now, ⇒ S₁₀ = 10/2 [ 2a + (10 - 1)d ] ⇒ -150 = 5 [ 2a + 9d ] ⇒ 2a + 9d =-30...(i)Now, according to the second case, WebThe sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms. Q. top gun maverick ray bans

In an A.P., the sum of the first 10 terms is 150, and the …

Category:Finding first term and common difference when sum is …

Tags:In an ap sum of first 10 terms is-150

In an ap sum of first 10 terms is-150

Sum of N terms of an AP - Formula, Examples Sum of AP Formula - Cu…

WebSolution Here, we are given S 10 = -150 and sum of the next ten terms is −550. Let us take the first term of the A.P. as a and the common difference as d. So, let us first find a10. For …

In an ap sum of first 10 terms is-150

Did you know?

WebMar 12, 2024 · Sum of n terms in an arithmetic progression is given by the formula S = n 2 [ 2 a + ( n − 1) d] in which a = first term, n = number of terms and d = common difference. Let us understand this concept in brief by taking an example. Consider a man putting 100 rupees in his daughter’s piggy bank, in such a way that, He deposits 100 rupees on ... WebGiven that sum of the first 10 terms of an A.P. is -150. S 10 = -150 And the sum of next 10 terms is -550. So, the sum of first 20 terms = Sum of first 10 terms + sum of next 10 terms S 20 = -150 + -550 = -700 Now, having S 10 = 10/2 {2a + (10 − 1)d} -150 = 5 (2a + 9d) -30 = 2a + 9d 2a + 9d = -30 . . . . (1) And, S 20 = 20/2 {2a + (20 − 1)d}

WebOpen in App Solution Verified by Toppr From the question it is given that, The sum of the first 10 terms =−150 The sum of the next 10 terms =−550 A.P =? We know that, Sn … WebJul 29, 2024 · In an AP, the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P.I have provided the easiest solution of above question, ......

WebYou would do the exact same process, but you would have to SOLVE for "n" (number of terms) first. To do so, you must start with the arithmetic sequence formula: tn = a + d(n −1) Then, sub in all known values. tn = 15 (last term of the sequence), a = 1 (first term), d = 2 (difference between terms) and solve for n like so: 15 = 1 + 2(n −1) Webasked Sep 14, 2024 in Mathematics by Mubarak (32.8k points) In an AP, the first term is -4, the last term is 29 and the sum of all its terms is 150. Find its common difference. arithmetic progression class-10 1 Answer +1 vote answered Sep 14, 2024 by AmirMustafa (60.3k points) selected Sep 23, 2024 by Vikash Kumar Best answer

WebIf its 10th term is 41, then find the sum of its first fifteen terms. Solution: Question 33. The 13th term of an AP is four times its 3rd term. If its fifth term is 16, then find the sum of its first ten terms. Solution: Question 34. In an A.P., if the 12th term is -13 and the sum of its first four terms is 24, find the sum of its first ten terms.

WebThe sum of n terms of an AP can be easily found out using a simple formula which says that, if we have an AP whose first term is a and the common difference is d, then the formula of the sum of n terms of the AP is S n = … top gun maverick real pilotsWebIn an AP, the sum of first ten terms is -150 and the sum of next ten terms is -550. Find the AP. - YouTube In an AP, the sum of first ten terms is -150 and the sum of... pictures of a towelWebGiven that sum of the first 10 terms of an A.P. is -150. S 10 = -150. And the sum of next 10 terms is -550. So, the sum of first 20 terms = Sum of first 10 terms + sum of next 10 … pictures of a tribeWebJul 29, 2024 · In an AP, the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P.I have provided the easiest solution of above question, ... pictures of a toyger catWebApr 11, 2024 · Given the sum of the first 10 terms of an AP is -150 and the sum of the next ten terms which means Sum of first 20 terms - Sum of first 10 terms is -530. Let the first … pictures of atrial septal defectWebIn an AP, the sum of first ten terms is -150 and the sum of next ten terms is -550. Find the AP. pictures of atrial tachWebFinding number of terms when sum of an arithmetic progression is given. Google Classroom. The sum of n n terms of an arithmetic sequence is 203 203. The first term is … pictures of atrium windows