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MariettaO [177]
4 years ago
9

What is the sum of the arithmetic sequence 153, 139, 125, …, if there are 22 terms?

Mathematics
1 answer:
Tamiku [17]4 years ago
4 0

a_1=153\\a_2=139\\a_3=125\\\vdots\\\\d=a_2-a_1\to d=139-153=-14

The formula of the sum of the arithmetic sequence:

S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n

We have:

a_1=153\\d=-14\\n=22

substitute

S_{22}=\dfrac{2\cdot153+(22-1)\cdot(-14)}{2}\cdot22=(306+21\cdot(-14))\cdot11=132

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3 years ago
Evan is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Th
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