Question

Write the sequence with the nth term an = 5 + 2n
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Answer 1

Step-by-step explanation:

let n,n+1 ,n+2 the formula

2n = 1,2,3, etc...

2×1+5=7

2×2+5= 9

2×3+5=11

2×n+5=0

2n=-5

n= 5/2

Answer 2

Answer:

The sequence whose $n^{th}$ term is $a_{n} =5+2n$ is

$7,9,11,13,...$

Step-by-step explanation:

Arithmetic Progressions are the sequence of numbers which either increases or decreases by a same integer . That number is called common difference, which can be either positive, or negative, or zero.

And $a_{n}$ is called the general term.

Here given $a_{n} =5+2n$

Therefore the first term

$a_{1} =5+2(1)=7\\\\a_{2} =5+2(2)=9\\\\a_{3} =5+2(3)=11\\\\a_{4} =5+2(4)=13$    etc.

Therefore the sequence is  $7,9,11,13, . . . .$

which is an Arithmetic progression with first term $7$ and common difference $2$.

Hence the answer.

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