Question

what are the 9 different methods to find the sum of an arithmetic sequence? ​

Answer 1

Answer:

✨✨✨✨The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms. Example: 3 + 7 + 11 + 15 + ··· + 99 has a1 = 3 and d = 4. To find n, use the explicit formula for an arithmetic sequence.✨✨✨✨

Answer 2

Answer:

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YOUR ANSWER ❤️☟︎︎︎ ☟︎︎︎

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$\red {Formula= \frac{n}{2}(2a+(n-1)d)}$

$\green {For \: example:-}$

⭐ Question:

Find the sum of the first 30 terms of the sequence 1, 3, 5, 7, 9 ……

⭐ Answer:

Given, a = 1

d = 2

n = 30

Using the formula: $\orange { \frac{n}{2}(2a+(n-1)d)}$

$S = \frac{30}{2}(2 \times 1 + (30 - 1) 2 )$

$S = 900$

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