Question

What is the 25th term given a₁ = 8 and r = 2?

Answer 1

Answer:

134217728

Step-by-step explanation:

The geometric sequence formula is:

$\displaystyle{a_n = a_1r^{n-1}}$

We know that $\displaystyle{a_1=8}$ and $\displaystyle{r=2}$, we also want to find the 25th term, substitute n = 25:

$\displaystyle{a_{25}=8\cdot 2^{25-1}}\\\\\displaystyle{a_{25}=8\cdot 2^{24}}\\\\\displaystyle{a_{25}=134217728}$

Therefore, the 25th term of sequence is 134217728