Question

The Sum of the first 8 terms of a geometry sequence with the first term 0.3 and the comman ratio 1/10 is equal to ​

Answer 1

The sum of the first 8 terms of the geometric sequence is 0.3333333299999999. ​

Explanation:

To calculate the sum of the first 8 terms of a geometric sequence, we can use the following formula:

Sum = a(1 - r^n) / (1 - r)

where:

a is the first term of the sequence

r is the common ratio

n is the number of terms

In this case, a = 0.3, r = 1/10, and n = 8.

Sum = 0.3(1 - (1/10)^8) / (1 - 1/10)

Sum = 0.3333333299999999

Therefore, the sum of the first 8 terms of the geometric sequence is 0.3333333299999999.

I hope this helps!