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
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