Question

determine the number of term in the sequence 5/2,5,10 .......640​

Answer 1

Step-by-step explanation:

$Given \: sequence \\ \frac{5}{2} \:, 5 \:, 10 \:, ...............640 \\ first \: term(a) = \frac{5}{2} \\ common \: ratio \: (r) = 2 \\ \\ let \: n \: term \: is \: 640. \\ a {r}^{n - 1} = 640 \\ \frac{5}{2} {2}^{n - 1} = 640 \\ {2}^{n - 1} = 256 \\ {2}^{n - 1} = {2}^{8} \\ n - 1 = 8 \\ n = 9 \\ \\ Hope \: it \: will \: help \: you.$