WebSum of first n terms of an AP Finding first term and common difference when sum is given Google Classroom In an arithmetic sequence: S_ {20} = 500 S 20 = 500 a_ {20}= 44 a20 = 44 Find the first term, a_1 a1, of the sequence. a_1 = a1 = Stuck? Review related articles/videos or use a hint. Report a problem 7 4 1 x x y y \theta θ \pi π 8 5 2 0 9 6 3 WebMar 18, 2024 · Next, to find the sum of first 20 terms of this A.P., we use the following formula for the sum of n terms of an A.P., Sn =n 2 n 2 [2a + (n − 1)d] Where; a = first term of the given A.P. d = common difference of the given A.P. n = number of terms Here n = 20, so we have S20 = 20 2 20 2 [2 (10) + (20 − 1) (5)] = (10) [20 + (19) (5)] = (10) [20 + 95]
Arithmetic Progression - AP Formula, nth Term, Sum, Examples
WebAug 18, 2024 · Here, we have to find the sum of first 12 terms of the AP. Let the first term be a and the difference be d. ∵ 3rd term of an AP is -13 ⇒ a + (3 - 1)d = -13 ⇒ a + 2d = -13 ---- (i) Similarly, the 6th term is - 4 ⇒ a + 5d = -4 ---- (ii) Subtracting (i) from (ii) ⇒ 3d = -4 - (-13) = 9 ⇒ d = 3 Putting d = 3 in (i), we get ⇒ a + 6 = -13 ⇒ a = -19 WebApr 5, 2024 · First condition given in the question is 12th term is -13. Substituting this in equation (1), we get it as: a + 11 d = − 13 ……………… (3) By substituting sum of 4th term as 24, we get it as: 4 a + 6 d = 24 ………………… (4) By substituting 11d on both sides of equation (3), we get: a = − 13 − 11 d ………………….. (5) By substituting this in equation (4) we get: how to store kindling wood
In an A.P if the $12^{th}$ term is -13 and the sum of its ... - Vedantu
WebJul 11, 2024 · In an ap if 12th term is -13 and the sum of its first four terms is 24 , find the sum of its first ten terms. ← Prev Question Next Question →. 0 votes. 328 views. asked … WebThe 5 th term of an AP is 13 and the 1 st term is -3. Find the 6 th term and the sum of the first 12 terms. (4 marks) Given that f(x) = 3 x: Copy and complete the table below for the function f(x) = 3 x. x-2-1. 0. 1. 2. f(x) 1/3. 1 (3 marks) Using a scale of 2cm:1 unit on both axes, draw the graph of f(x) = 3 x for −2≤𝑥≤2 WebThe 12 th term of an AP is -13 and the sum of its first four terms is 24. Find the sum of its first 10 terms. Advertisement Remove all ads Solution Let a be the first term and d be the … read xlsx file using python