WebShow that the sum of (m+n) th and (m−n) th terms of an A.P. is equal to twice the m th term. Medium Solution Verified by Toppr Let a and d be the first term and the common difference of A.P. respectively. It is known that the k th term of an A.P. is given by WebIn a G.P. if the (m+n) th term be p and (m−n) th term be q, then its m th term is- A (pq) B (p/q) C (q/p) D p/q Medium Solution Verified by Toppr Correct option is A) Let first term and common ratio of the G.P are a and r respectively T m+n=ar m+n−1=pandT m−n=ar m−n−1=q Multiplying a 2r 2m−2=pq ∴T m=ar m−1= (pq) Was this answer helpful? 0 0
Example 9 - Find 10th and nth terms of GP 5, 25, 125 - Examples
WebJan 26, 2024 · 10 t h. of the G.P. 5, 25, 125 and so on will be. 5 10. . This is the required answer. Note: Whenever we are given a sequence, we always have to first check if the sequence is in Arithmetic progression (AP) or in Geometric progression (GP). The GP will have the common ratio and the AP will have the common difference between the two … WebThe nth term of H.P = 1/ (nth term of the corresponding A.P) Geometric Progression; Arithmetic Progression for Class 10; Sum of N-terms; ... Relation Between AP, GP and HP. For any two numbers, if A.M, G.M, H.M are the Arithmetic, Geometric and Harmonic Mean respectively, then the relationship between these three is given by: ... hill partners
Arithmetic, Geometric, Harmonic Progressions - With Problems …
WebThe following is the formula for calculating the general term, nth term, or last term of the geometric progression: an= nth term. a1=first term. r=common ratio. n=term position. To get the total value of the supplied terms of a geometrical series, apply the formula for the sum of the geometric progression or series. WebMay 28, 2024 · Find Pth term of a GP if Mth and Nth terms are given Last Updated : 28 May, 2024 Read Discuss Courses Practice Video Given Mth and Nth term of a Geometric progression. Find its Pth term. Examples: Input: m = 10, n = 5, mth = 2560, nth = 80, p = 30 Output: pth = 81920 Input: m = 8, n = 2, mth = 1250, nth = 960, p = 15 Output: 24964.4 … WebSolution The correct option is C ( m n) Explanation for the correct option Step 1: Information required for the solution Let a be the first term of GP with a common ratio r Then the last term of the GP will be a r n - 1 The p + q th term will be, a r ( p + q - 1) = m … 1 The p - q th term will be, a r ( p - q - 1) = n … 2 hill park near me