WebConsider an arithmetic progression (AP) whose first term is a 1 (or) a and the common difference is d.. The sum of first n terms of an arithmetic progression when the n th term is NOT known is S n = (n/2) [2a + (n - 1) d]; The sum of first n terms of an arithmetic progression when the n th term(a n) is known is S n = n/2[a 1 + a n]; Example: Mr. … WebIn the given problem, we need to find the 10 th term from the end for the given A.P. We have the A.P as 8, 10, 12 …126. Here, to find the 10 th term from the end let us first …
Arithmetic Progression - AP Formula, nth Term, Sum, Examples
WebDetermine the 10th term of an AP 2, 7, 12, …. Solution: Given arithmetic progression (AP) is 2, 7, 12, … Here, the first term, a = 2. Common difference, d = 7-2 = 5 n=10. The formula to find the nth term of an AP, a n = a+ (n-1)d Now, substitute the values in the formula, we get a 10 = 2 + (10-1)5 a 10 = 2 + (9)5 a 10 = 2+45 a 10 = 47. WebThe greatest angle is twice the least. Find all the angles of the triangle. 32. The 8th term of an AP is 37 and its 12th term is 57. Find the AP. 33. The p th, q th and r th terms of an AP are a, b and c respectively. Show that a (q – r) + b (r – p) + c (p – q) = 0. 34. haus hoppel rantum sylt
Class X - Arithmetic Progression (PYQs) - Practice For Everyone
WebHere, to find the 10 th term from the end let us first find the total number of terms. Let us take the total number of terms as n. So, First term (a) = 8. Last term (a n) = 126. … WebThus, the formula of nth term of ap is, T n = a + (n - 1)d This relation helps us calculate any term of an AP, given its first term (a) and its common difference (d). Thus, for the AP that is mentioned in the previous section (2, 5, 8, ...), we have: T 20 = 2 + (20 - 1) 3 = 2 + 57 = 59 T 45 = 2 + (45 - 1) 3 = 2 + 132 = 134 WebAnswer: a = 2 a2 = 7 d = a2 -a = 7-2 = 5 a15 = a + 14d = a + 14× 5 = 2 + 70 = 72 Advertisement kashishdhingra27 Answer: 72 hope it will help you..... Step-by-step explanation: 15th term of AP 2,7,12 a=2 d=7-2=5 n=15 an=? an=a+ (n-1)d =2+ (15-1)5 =2+14×5 =2+70 =72 hence, an=72 Advertisement New questions in Math Advertisement haus in jamaika kaufen