WebIn a GP of an even number of terms, the sum of all terms is 5 times the sums of the odd terms. What is the common ratio of the GP? Let, the GP series contains ‘2n’ number of terms which can be expressed as : a+ar^2+ar^3+…….ar^ (2n-1) Here, first term is ‘a’ & common ratio is ‘r’ Sum of this series, S1 = a (r^2n-1)/ (r-1) WebThe first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively. In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by ...
Q. In a GP. of even number of terms, the sum of all terms is
WebHere are the GP formulas for a geometric progression with the first term 'a' and the common ratio 'r': n th term, a n = ar n-1. Sum of the first 'n' terms, S n = a (1-r n )/ (1-r) when r ≠ 1. … WebIn a GP of even number of terms, the sum of all terms is 5 times the sum of the odd terms. The common ratio of the GP is Medium View solution Sum of an infinite G. P. is 45 times the sum of all the odd terms. The common ratio of the G.P. is: Medium View solution A G.P. consists of an even number of terms. fairly acceptable
Arithmetic Progression : Learn definition, terms, formulas here
WebA G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of the terms occupying odd places, the common ratio will be Q. A G.P consists of an even no 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 … WebAug 20, 2024 · 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, asked Sep 8, 2024 in Mathematics by … fair lottery