WebThe sum of n term of an A.P. is 3n 2+5n. Find the A.P. Hence, find its 16 th term. Medium Solution Verified by Toppr S n=3n 2+5n Taking n=1, we get S 1=3(1) 2+5(1) ⇒S 1=3+5 ⇒S 1=8 ⇒a 1=8 Taking n=2, we get S 2=3(2) 2+5(2) ⇒S 2=12+10 ⇒S 2=22 ∴a 2=S 2−S 1=22−8=14 Taking n=3, we get S 3=3(3) 2+5(3) ⇒S 3=27+15 ⇒S 3=42 ∴a 3=S 3−S … WebThe formula to find the sum of n terms in AP is S n = n/2 (2a+(n−1)d), in which a = first term, n = number of terms, and d = common difference between consecutive terms. What is the …

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Web(11) Search the sum the first 20 terms of the numerical series in which 3 rl term is 7 also 7 in term is 2 more than three time its 3 rad term. Solution (12) Stylish an arithmetic series, which sum of first 11 conditions is 44 and one that of the next 11 terms is 55. Web>> In an AP, the sum of first n terms is 3 Question In an AP, the sum of first n terms is 23n 2+ 213n Find the 25th term. Medium Solution Verified by Toppr Step 1: Use properties of Arithmetic Progression to get the required answer. Given, S n= 23n 2+ 213n a 25=S 25−S 24 = 23(25) 2+ 213(25)− 23(24) 2− 213(24) =1100−1020 =80 immigration johor malaysia

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WebApr 20, 2024 · The sum of the first n term of an AP,denoted by Sn is given by. Sn = n2 +8n. So. n th term of the series will be. tn = Sn −Sn−1 = n2 + 8n − ((n −1)2 +8(n − 1)) ⇒ tn = 2n … WebIt is a series of natural numbers. The sum of first n terms of an Ap series is n 2 2 a + n - 1 d, where a is the first term, d is common difference and n is the number of term. The first term of the series is 1. The common difference is 2 - 1 = 3 - 2 = 1 The sum of the series is n 2 2 · 1 + n - 1 · 1 = n 2 2 + n - 1 = n n + 1 2 WebExample: Find the nth term of AP: 1, 2, 3, 4, 5…., a n, if the number of terms are 15. Solution: Given, AP: 1, 2, 3, 4, 5…., a n. n=15. By the formula we know, a n = a+(n-1)d. First-term, a … immigration jobs in nyc