Write Terms of a Geometric Sequence
-$$\mathrm { a } _ { 1 } = 2 ; \mathrm { r } = 5$$
A) $2,10,50,250,1250$
B) $10,50,250,1250,6250$
C) $2,7,12,17,22$
D) $5,10,20,40,80$

Question

Quizplus · Accepted Answer

A geometric sequence is defined by its first term $a_1$ and the common ratio $r$. The nth term is given by $a_n = a_1 \cdot r^{n-1}$. With $a_1 = 2$ and $r = 5$, the sequence is $2, 2\cdot5, 2\cdot5^2, 2\cdot5^3, 2\cdot5^4$, which simplifies to $2, 10, 50, 250, 1250$.

Write Terms of a Geometric Sequence - a1=2;r=5\mathrm { a } _ { 1 } = 2 ; \mathrm { r } = 5a1​=2;r=5

Write Terms of a Geometric Sequence
- $\mathrm { a } _ { 1 } = 2 ; \mathrm { r } = 5$