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ki77a [65]
3 years ago
10

Position 1 2 3 4 5 n Value of term 2 12 17 22 27

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;

7, 12, 17, 22, 27

Answer:

The expression for the nth term of the givens sequence is:

  • a_n=5n+2

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, 27

Here, the first element of the sequence is:

a_1=7

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5,\:\quad \:27-22=5

The difference between all the adjacent terms is the same and equal to

d=5

so substituting d = 5 and a_1=7 in the nth term to determine the expression

a_n=a_1+\left(n-1\right)d

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, the expression for the nth term of the givens sequence is:

  • a_n=5n+2
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