The geometric progression is given by the formula of the nth term y = 2 * 5 ^ n, Find Sn.

univerkov | July 28, 2021 | education

Sn = (yn * q – y1) / (q – 1);

Let’s find the first term of the progression and the denominator q:

y1 = 2 * 5 ^ 1 = 2 * 5 = 10;

y2 = 2 * 5 ^ 2 = 2 * 25 = 50;

q = 50/10 = 5;

Sn = (yn * 5 – 10) / (5 – 1) = (5yn – 10) / 4;

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