Web5 Nov 2024 · The sum of n terms of a progression is `(2^(n)-1)`. Show that it is a GP and find its common ratio. asked Nov 5, 2024 in Mathematics by TanujKumar ( 70.8k points) Web20 Aug 2024 · Let the sum of an infinite G.P., whose first term is a and the common ratio is r, be 5. Let the sum of its first five terms be \(\frac{98}{25}\).Then the sum of the first 21 terms of an AP, whose first term is 10ar, n th term is a n and the common difference is 10ar 2, is equal to: (A) 21 a 11 (B) 22 a 11 (C) 15 a 16 (D) 14 a 16
Sum of Infinite GP - Important Concepts and Tips for JEE
Web7 Aug 2024 · The task is find the sum of first n term of the AGP. Input : First term of AP, a = 1, Common difference of AP, d = 1, First term of GP, b = 2, Common ratio of GP r = 2, Number of terms, n = 3 Output : 34 Explanation Sum = 1*2 + 2*2 2 + 3*2 3 = 2 + 8 + 24 = 34. Recommended: Please try your approach on {IDE} first, before moving on to the ... Web29 Jun 2024 · The infinite series of which, the terms are the squares of the terms of the first GP is, a^2+a^2r^2+a^2r^4+...+a^2r^(2n-2)+.... We notice that this is also a Geom. Series, of which the first term is a^2 and the common ratio r^2. other routine
Sum of Infinite GP - Formula Sum of Infinite Terms of GP …
Web16 Dec 2024 · The infinite sum is when the whole infinite geometric series is summed up. To calculate the partial sum of a geometric sequence, either add up the needed number of terms or use this... WebHence the sum of an infinite GP is given by S = a 1 − r S = − 5 / 4 1 − ( − 1 / 4) = -1 Example : The sum of an infinite GP is 57 and the sum of their cubes is 9747, find the GP. Solution : Let a be the first term and r be the common ratio of the GP. Then Sum = 57 a 1 − r = 57 ……. (i) Sum of the cubes = 9747 a 3 + a 3 r 3 + a 3 r 6 + ….. = 9747 WebThe sum of n terms in GP whose first term is a and the common ratio is r can be calculated using the formula: S n = [a (1-r n )] / (1-r). The sum of infinite GP formula is given as: S n = a/ (1-r) where r <1. ☛ Related Topics: Geometric Series Formula Sum of n Terms of AP Geometric Progression Calculator Geometric Progression Examples other routes with public access