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love history [14]

3 years ago

11

Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bou

ght the journal

1 answer:

Annette [7]3 years ago

4 0

He had $50 before the purchase

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3 years ago

Find a4 for the arithmetic series with S4=-36 and a1=9

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ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

$S_n= \frac{n}{2} (2a_1+d(n-1))$

It was given that,

$S_4 = - 36$

$a_1 = 9$

$- 36= \frac{ 4}{2} (2 \times 9+d(4-1))$

$-36=2(18+3d)$

$-18=18+3d$

$-18 - 18 = 3d$

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$d = - 12$

The n-term is given by:

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We substitute n=4 to get,

$a_4=9+ (4-1) \times -12$

$a_4=9+ 3\times -12$

$a_4=9 - 36$

$a_4= - 27$

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3 years ago