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2 years ago

11

For the arithmetic sequence beginning with the terms {11, 17, 23, 29, 35 ...}, what is the sum of the first 17 terms?

1 answer:

Anika [276]2 years ago

3 0

Answer:

a.) 1003

Step-by-step explanation:

The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.

1) Let's substitute the values into the formula.

S17 = 17/2[2(11) + (17 - 1)6]

S17 = 17/2[22 + (16)6]

S17 = 17/2[22 + 96]

S17 = 17/2[118]

S17 = 17/2 × 118

S17 = 1003

Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).

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Read 2 more answers

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Final Answer: $s = -\frac{3}{2}$

Steps/Reasons/Explanation:

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Step 1: Subtract $0.5$ from both sides.

$1 = 7 + 4.5s - 0.5s$

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