Question

The 15th term of the G.P. 2,1,1/2,1/4 is ​

Answer 1

Step-by-step explanation:

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Methods to solve:

• We want to find common ratio of series
• And we want to find 15th term

$\mathtt{\bold{\underline{Concepts\:we \:want\:learn}}}$

• Common ratio=
• $\frac{\mathtt{second\:term\:}}{\mathtt{first\:term}}$
• to find the a term in an G.P=
• $\mathtt{a {r}^{n - 1} }$

SOLUTION

Common ratio=

$\mathtt{ \frac{1}{2} }$

then find 15th term

$a{r}^{n - 1} \:we\:know\:a = first\:term\: = 2 \times { \frac{1}{2} }^{14}$

here your answer hope its heplful