WebMar 9, 2024 · 1 Answer. Sorted by: 1. The terms of GP are 2, 2 r, 2 r 2, 2 r 3, …. So we can directly write. 1 + 3 r = 2 r 2 + 2 r 3. ⇒ 2 r 3 + 2 r 2 − 3 r − 1 = 0. which indicates that there is mistake made in simplification in OP. EDIT : There is no mistake in simplification as pointed by @DavidK below in comments since. WebNov 19, 2024 · Difficulty finding common ratio and first term. 0 In a G.P. the sum of the first five terms is $80$, if the difference between the sixth and first term is $5$, find the …
How to find the first term given the common ratio and the sum
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Initial value & common ratio of exponential functions
WebAnswer. We know that if the common ratio, 𝑟, satisfies 𝑟 < 1, then the sum of an infinite geometric sequence with first term 𝑇 is 𝑆 = 𝑇 1 − 𝑟. ∞. We can see that the first term is 1 3 2, so we will need to calculate the common ratio, 𝑟. We find this by dividing a term by the term that precedes it, so we will use the ... WebOct 6, 2024 · A geometric sequence is a sequence where the ratio r between successive terms is constant. The general term of a geometric sequence can be written in terms of … WebThis product is great to practice geometric sequences. There are 3 sections with total of 13 questions. In the first section, students are asked to write the explicit formula of … is mathway safe reddit