WebJun 28, 2024 · nth term =10n+3 Step-by-step explanation: sn=d/2 n^2+ (a-d)n 5n^2+3n=d/2n^2+ (a-d)n from the equation d/2=5 d=10 (a-d)=3 a-10=3 a=13 first term =13 sum of first two term 2nd term =a+d =13+10 =23 sum of first two term =13+23 =36 third term =a+2d = 13+ (2×10) =13+20 =33 10th term=a+9d =13+ (9×10) =13+90 =103 nth … WebMar 31, 2024 · LeParfait Given: Sum of the first n-terms is 5n²/2 + 3n/2 To find: The 17th term of the A. P. Solution: Step 1. We find the sum of the first 17 terms. Sum of the first 17 terms is = 5 (17)²/2 + 3 (17)/2 = 5 (289)/2 + 51/2 = 1445/2 + 51/2 = 1496/2 = 748 Step 2. We find the sum of the first 16 terms. Sum of the first 16 terms is
Sum of N Terms of an Arithmetic Progression, Definition - BYJUS
WebThe sum of n terms of AP is the sum (addition) of first n terms of the arithmetic sequence. It is equal to n divided by 2 times the sum of twice the first term – ‘a’ and the product of the … WebGiven ratio of sum of n terms of two AP’s = (7n+1):(4n+27) Let’s consider the ratio these two AP’s mth terms as am : a’m →(2) Recall the nth term of AP formula, an = a + (n – 1)d Hence equation (2) becomes, am : a’m = a + (m – 1)d : a’ + (m – 1)d’ On multiplying by 2, we get am : a’m = [2a + 2(m – 1)d] : [2a’ + 2(m ... dickie high waisted work pants
Arithmetic progression - Wikipedia
WebDec 19, 2024 · at n = 1, S 1 = 2 + 3 = 5 = first term at n = 2, S 2 = 2 (2) 2 + 3 (2) = 8 + 6 = 14 ≠ second term = sum of first two terms. ∴ second term = S 2 – S 1 = 14 – 5 = 9 ∴ d = a 2 – … WebAP2: Sum of 1 term = 5x1+2 = 7 Ratio of the 1st term is 1:7. AP1: Sum of 2 term = 4x2–3 = 5. The second term = 5–1 = 4 AP2: Sum of 2 term = 5x2+2 = 12. The second term = 12 - 7 = 5 Ratio of the 2nd and subsequent terms is 4:5 So the ratio of the nth term of the two APs is 4:5 other than the first terms. 2 Quora User 4 y WebThe sum of first n terms of an AP is (5n − n2). The nth term of the AP is (a) (5 − 2n) (b) (6 − 2n ... The sum of first n terms of an AP is (4 n 2 + 2 n) The nth term of this AP is (a) (6n-2) … dickie jeans with western style boots