Question

What is the 46th term in the sequence? pt.1 theres a picture ​

Answer 1

a₄₆ = 209.5

Explanation:

We have given a arithmetic sequence.

7,11.5,16,20.5,25,...

We have to find the 46th term in the sequence.

The formula to find the nth term is

`a_(n)  = a_(1) -d(n-1)` where d is common difference.

Now, we have to find the common difference d.

d = 11.5-7

d = 4.5

a₁ = 7

Putting the value of common difference and n = 46 in given formula, we have

a₄₆ = 7+(4.5)(46-1)

a₄₆ = 7+4.5(45)

a₄₆ = 7+202.5

a₄₆ = 209.5 which is the answer.

Answer 2

`a_(46)=209.5`

Explanation:

The first term of the sequence is
`a_1=7`

The common difference is
`d=11.5-7=4.5`

The nth term is

`a_n=a_1+d(n-1)`

The 46th term is

`a_(46)=7+4.5(46-1)`

`a_(46)=7+4.5(45)`

`a_(46)=209.5`