A geometric series has first term $12$ and common ratio $\frac{1}{3}$ . What is its sum to infinity?

Practise more Sequences and series.

Free questions with an explanation for every one, and full timed ESAT (Engineering and Science Admissions Test) mock tests.

All Sequences and series questions Take a mock test

More Sequences and series questions

Evaluate $r = 1 \sum 10 (3 r - 2)$ .
What is the coefficient of $x^{2}$ in the expansion of $(2 - 3 x)^{4}$ ?
The first term of a geometric sequence is $4$ and the third term is $36$ , with all terms positive. What is the 5th term?
An arithmetic sequence has 5th term $17$ and 12th term $38$ . What is the sum of its first $20$ terms?
A geometric sequence has first term $3$ and common ratio $2$ . What is the smallest $n$ such that the sum of the first $n$ terms exceeds…
What is the coefficient of $x^{3}$ in the expansion of $(1 + 2 x)^{6}$ ?