SOLUTION: Use the partial sum formula to find the partial sum of the given arithmetic sequence. ( Sn = n/2 ( a1 + an) ) Find the sum of the first four terms of the arithmetic sequence:

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Question 1181059: Use the partial sum formula to find the partial sum of the given arithmetic sequence. ( Sn = n/2 ( a1 + an) )
Find the sum of the first four terms of the arithmetic sequence: 7, 15, 23, . . . .
a. 60
b. 45
c. 152
d. 76

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

S%5Bn%5D+=+%28n%2F2%29+%28+a%5B1%5D+%2B+a%5Bn%5D%29+
Find the sum of the first four terms of the arithmetic sequence: 7, 15, 23, . . . .
first term
a%5B1%5D+=7
common difference
d=8
fourth term
a%5B4%5D=a%5B1%5D%2B%284-1%29d
a%5B4%5D=7%2B3%2A8
a%5B4%5D=31
S%5B4%5D+=+%284%2F2%29+%28+7%2B+31%29+
S%5B4%5D+=+76

answer: d. 76


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Use the partial sum formula to find the partial sum of the given arithmetic sequence. ( Sn = n/2 ( a1 + an) )
Find the sum of the first four terms of the arithmetic sequence: 7, 15, 23, . . . .
a. 60
b. 45
c. 152
d. 76
You don't have to find the 4th term as that woman did. But, even if you wanted to, just add 8 to the 3rd term 23,
to get the 4th term, 31. Is there any RIDICULOUS and UNNECESSARY calculation this woman has NEVER done?
Using what was provided, the formula, matrix%281%2C3%2C+S%5Bn%5D%2C+%22=%22%2C+%28n%2F2%29%282a%5B1%5D+%2B+%28n+-+1%29d%29%29 becomes:
Sum of 1st four terms or highlight_green%28matrix%281%2C5%2C+S%5B4%5D%2C+%22=%22%2C+2%2838%29%2C+%22=%22%2C+76%29%29