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

Bag: 800/100 = 8*15 = 120 Umbrella: 400/100 = 4*15 = 60 120 - 60 = 60The shopkeeper has gained 60 from the transaction...

Position 1 2 3 4 5 n Value of term 2 12 17 22 27 - id1234521217222710253504, skywil8981

kelseybell2707

16.03.2022

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

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

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:

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