Question

Identify the following series as arithmetic, geometric, both, or neither.

A) Arithmetic
B) Geometric
C) Both
D) Neither

Answer 1

b

Explanation:

Answer 2

Answer: First Option is correct.

Explanation:

Since we have given that

`\sum_(n=1)^(n=\infty)(3+an)`

Here, a = 3

So, our sequence becomes,

`3+a,3+2a,3+3a,................`

So, we can see that there is a common difference i.e. 'd'.

`d=a_2-a_1=3+2a-(3+a)=3+2a-3-a=a`

So, it becomes an arithmetic progression.

Hence, First Option is correct.