170 is the __ term of -4, 2, 8, ...

drzwiczkih5a

drzwiczkih5a

Answered question

2022-11-04

170 is the __ term of -4, 2, 8, ...

Answer & Explanation

grizintimbp

grizintimbp

Beginner2022-11-05Added 16 answers

This is an arithmetic sequence with first term −4, common difference 6 and nth term 170.
t n = a + ( n - 1 ) d
170=−4+(n−1)6
170=−4+6n−6
170+10=6n
180=6n
n=30
klasyvea

klasyvea

Beginner2022-11-06Added 4 answers

First, you need to determine what the likely sequence is. With only the three given numbers, it looks like each one is the previous one plus 6. Algebraically, the sequence is x n = ( x n + 1 6 ), with an ‘offset’ to start it at -4:
x n = - 4 + 6 ( n - 1 )
Now we can put in the value of 170 and solve for the placement in the sequence.
170 = - 4 + 6 ( n - 1 )
174 = 6 ( n - 1 )
n-1 = 174 6 = 29
Because ‘29’ is the (n-1)th term in the series, the value of 170 is the 30th term in the series.

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