Find the seventeenth term in the arithmetic sequence for which a=4.5 and d=0.2

bamakhosimz

bamakhosimz

Answered question

2022-09-09

Find the seventeenth term in the arithmetic sequence for which a=4.5 and d=0.2

Answer & Explanation

nirosoh9

nirosoh9

Beginner2022-09-10Added 16 answers

Recall the general term in an arithmetic sequence is written as:

t n = a + ( n - 1 ) d

where:
t n = =term number
a=first term
n=number of terms
d=common difference

To solve for the seventeenth term, substitute your known values into the equation:

t n = a + ( n - 1 ) d

t 17 = 4.5 + ( 17 - 1 ) ( 0.2 )

t 17 = 4.5 + ( 16 ) ( 0.2 )

t 17 = 4.5 + 3.2

t 17 = 7.7

Note that the seventeenth term is also t 17 = a + 16 d . If you used this equation, it would produce the same answer:

t 17 = a + 16 d

t 17 = 4.5 + 16 ( 0.2 )

t 17 = 4.5 + 3.2

t 17 = 7.7

∴, the seventeenth term is 7.7.

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