Geometric sequence

Question

The sum of the first 10 terms of a geometric sequence is 4 – 2^-8. If the common ratio is 1/2, find the first term of the sequence. Use this to determine the 11th term of the sequence.

Answer 1

The sum of 10 terms of a geometric series is (a₀r¹⁰-a₀)/(1-r).

Make the substitution r=1/2 and do the algebra tp find a₀.

Then use a₀ and r to compute the 11th term.