If r = 3 and the sum of 6 terms of the geometric series is 3640, what is the first term?

sum formula = s = a(1-r^n) / (1-r)

3640 = a (1 - 3^6) / (1-3)

3640 = a (1-729) / (-2)

Cross multiply

3640 * (-2) = a * (1-729)

- 7280 = a * (-728)

7280 = a * 728

Dividing by 728

a = 10 : Answer

Hope it will help :)

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.