Question

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>> Find the 15th term of the following A.P ,8, 13, 18, 23....
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Answer 1

Step-by-step explanation:

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Answer 2

$\sf Answer:$

• The 15th term from the last is 516.

Given:

• The given A.P. is 6, 12, 18, ..., 600

To find:

• 15th term from the last.

Solution:

1. Here, a = 6, d = 6, tn = 600

If tn = 6000, then

• Second last term = tn - d

Third last term = tn - 2d

In such way,

• ⇒ Last 15th term = tn - 14d

• ⇒ Last 15th term = 600 - 14 (6)

• ⇒ Last 15th term = 600 - 84

• ⇒ Last 15th term = 516

∴ The 15th term from the last is 516.

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Extra information:

$⇒ \sf{t_{n}=a+(n-1)d}t$

$⇒ \sf{S_{n}=\dfrac{n}{2}[2a+(n-1)d]}S$

[2a+(n−1)d]

$⇒ \sf{t_{n}=S_{n}-S_{n-1}}t$