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daser333 [38]
3 years ago
7

For an A.P. ,The first two term are -3, 4. The 21st term is

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer:

The 21st term is 137.

Step-by-step explanation:

Arithmetic progression:

In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.

The nth term is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

The first two terms are -3, 4.

This means that a_1 = -3, d = 4 - (-3) = 7

So

a_n = a_1 + (n-1)d

a_n = -3 + 7(n-1)

The 21st term is

a_{21} = -3 + 7(21-1) = -3 + 140 = 137

The 21st term is 137.

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