Answered

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

Sagot :

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:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

The first two terms are -3, 4.

This means that [tex]a_1 = -3, d = 4 - (-3) = 7[/tex]

So

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = -3 + 7(n-1)[/tex]

The 21st term is

[tex]a_{21} = -3 + 7(21-1) = -3 + 140 = 137[/tex]

The 21st term is 137.

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