WebJun 30, 2024 · in a G.P,the sum of the first and the last term is 66,the product of the second and last but one term is 128 and the sum of the terms is 126. [a] if an increasing G.P is considered ,then number of terms of the G.P.is ? [b] if decreasing G.P is considered then sum of infinite G.P is? [c] in any case diffference of greatest and least terms is ? WebJun 20, 2024 · n=6 terms (ii)sum of 'n' terms in GP is given by. S=a(r^n-1)/(r-1) S=3(2^6-1)/(2-1) S=3(64-1)/1. S=3(63) S=189. 3,6,12,24,48,96 are the numbers that are in GP. Advertisement Advertisement Ritiksuglan Ritiksuglan Answer: (i)given first term(a)=3. last term(T)=96. common ratio(r)=2. last term in GP is ar^(n-1),n is total number of …
Geometric Progression Sum of GP - Vedantu
WebThis online calculator computes the last nth term of arithmetic progression and the sum of the members. Arithmetic progression is a sequence, such as the positive odd integers 1, 3, 5, 7, . . . , in which each term after the first is formed by adding a constant to the preceding term. This constant difference is called common difference. WebJul 28, 2024 · Explanation: Suppose that the common ratio (cr) of the GP in question is r and nth. term is the last term. Given that, the first term of the GP is 2. ∴ The GP is … north bay automotive corte madera yelp
In an increasing geometric progression, the sum of the …
WebApr 6, 2024 · It is generally denoted with small ‘a’ and Total terms are the total number of terms in a particular series which is denoted by ‘n’. It is known that, l = a × r (n-1) l/a = r (n-1) (l/a)(1/ (n-1)) = r With this formula, calculate the common ratio if … WebSep 2, 2024 · Identify the first and last terms in the sequence. You need to know both of these numbers in order to calculate the sum of the arithmetic sequence. Often the first numbers will be 1, but not always. Let the variable equal the first term in the sequence, and equal the last term in the sequence. WebThe first and last terms of an AP are a and ℓ respectively. Show that the sum of the n th term from the beginning and the n th term form the end is ( a + ℓ ). Solution: In the given AP, first term = a and last term = ℓ. Let the common difference be d. Then, n th term from the beginning is given by an = a + ( n -1) d … (1) north bay automotive