Question

help help help help....​

Answer 1

Answer:

May be

option A

.......

Answer 2

Answer :

option C) 1/4 , 1/2 , 1 , 2 , 4

Step-by-step explanation:

• What is a geometric sequence?

It is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant.

In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio.

Let's check each option.

A. 3 , -15 , -33 , -51 , -69 , ....

    $\longrightarrow \sf \dfrac{-15}{3}=-5 \\\\ \longrightarrow \dfrac{-33}{-15}=\dfrac{33}{15} \\\\ \longrightarrow \dfrac{-51}{-33}=\dfrac{51}{33} \\\\ \longrightarrow \dfrac{-69}{-51}=\dfrac{23}{17}$

The ratio is not constant. Hence, the sequence is not Geometric sequence.

B. 1 , 5 , 9 , 13 , ...

    $\longrightarrow \sf \dfrac{5}{1}=5 \\\\ \longrightarrow \dfrac{9}{5}\\\\ \longrightarrow \dfrac{13}{9}$

The ratio is not constant. Hence, the sequence is also not a Geometric sequence.

C. 1/4 , 1/2 , 1 , 2 , 4 , ...

    $\longrightarrow \sf \dfrac{\dfrac{1}{2}}{\dfrac{1}{4}}=2 \\\\\\ \longrightarrow \dfrac{1}{\dfrac{1}{2}}=2 \\\\\\ \longrightarrow \dfrac{2}{1}=2 \\\\ \longrightarrow \dfrac{4}{2}=2$

The ratio is constant. Hence, the sequence is a Geometric sequence.

D. 2 , 3 , 5 , 9 , 17 , ...

    $\longrightarrow \sf \dfrac{3}{2} \\\\ \longrightarrow \dfrac{5}{3}\\\\ \longrightarrow \dfrac{9}{5}\\\\ \longrightarrow \dfrac{17}{9}$

The ratio is not constant. Hence, the sequence is also not a Geometric sequence

So, the correct option is C