SOLUTION: Find the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......

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Question 1179140: Find the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......
nth term formula of the arithmetic sequence is:
a%5Bn%5D=a%5B1%5D%2Bd%28n-1%29
given
a%5B1%5D=-7
a%5Bn%5D=-7%2Bd%28n-1%29
a%5B5%5D=13
13=-7%2Bd%285-1%29
13=-7%2B4d
13%2B7=4d
20=4d
d=5
your formula is
a%5Bn%5D=-7%2B5%28n-1%29
next term is
a%5B2%5D=-7%2B5%282-1%29
a%5B2%5D=-7%2B5
a%5B2%5D=-2
then comes
a%5B3%5D=-7%2B5%283-1%29
a%5B3%5D=-7%2B5%2A2
a%5B3%5D=3
then comes
a%5B4%5D=-7%2B5%284-1%29
a%5B4%5D=-7%2B5%2A3
a%5B4%5D=8

...,-7,-2,3,8, 13,......


Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Find the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......
From the given info., 

Common difference (d) = 

With common difference (d) being 5, we get: