WebA G.P. consists of an even number of terms. If the sum of all the terms is five times the sum of the terms occupying odd places, the common ratio is A 2 B 3 C 4 D 5 Medium Solution Verified by Toppr Correct option is C) Let total no. of terms of GP be 2n ∵S 2n=5 (sum of all terms occupying odd places) WebIf the number of terms in a GP is not finite, then the GP is called infinite GP. The formula to find the sum to infinity of the given GP is: S ∞ = ∑ n = 1 ∞ a r n − 1 = a 1 − r; − 1 < r < 1 Here, S∞ = Sum of infinite geometric progression a = First term of G.P. r = Common ratio of G.P. n = Number of terms
A. G.P. consists of an even number of terms. If the sum of all the ...
WebGeometric Progression or a G.P. is formed by multiplying each number or member of a series by the same number. This number is called the constant ratio. In a G.P. the ratio of any two consecutive numbers is the same number that we call the constant ratio. It is usually denoted by the letter ‘r’. WebMCQ In a G.P. of even number of terms, the sum of all terms is five times the sum of the odd terms. The common ratio of the G.P. is Options (a) − 4 5 (b) 1 5 (b) 1 5 (c) 4 (d) none of … china plastic buckle board crusher
How do we add the odd-numbered terms of a geometric series?
WebA G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio. A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio. WebJul 14, 2024 · Plug these values in the equation a-ar^n/1-r: 8- (-157464)/1- (-3) = 8+157464/1+3 = 157472/4 = 39368 which is the sum of the geometric series to the nth power. Unfortunately, though, we can't get which power is exactly needed to get this sum for the same limitation of log (negative number). I hope this could give you (and me) a … WebMar 4, 2024 · A sequence of numbers is said to be an arithmetic progression (AP) if the difference between any two of its consecutive terms is a constant. For example the sequence of even numbers; 2, 4, 6, 8,.. is an arithmetic progression as the difference between any two consecutive terms in it is a constant; 2. gramercy apartments champaign il