Geometric Sequences

Front

What does r represent in a geometric sequence?

Back

Common ratio

Front

If you have $10 in your bank account and it doubles every month, how much will you have after 5 months?

Back

$320

Front

Daisy received $2 on her first birthday. Each year, the amount triples. How much will she receive on her 5th birthday?

Back

$162

Front

A geometric sequence has a common ratio (r) of 2 and the 13th term (a13) is 36,864. What is the first term of the sequence (a1)?

Back

9

Front

Determine whether the sequence 2, 4, 8, 16 is arithmetic, geometric, or neither.

Back

Geometric

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1)

Front

In a geometric sequence, if the first term is 3 and the common ratio is 5, what is the 4th term?

Back

375

Front

What is the common ratio in the sequence 3, 6, 12, 24?

Back

2

Front

If the first term of a geometric sequence is 10 and the common ratio is 0.5, what is the 3rd term?

Back

2.5

Front

What is the sum of the first n terms of a geometric series?

Back

S_n = a_1 * (1 - r^n) / (1 - r) if r ≠ 1