Question

The nth term of an A.P is given by 12n – 5. If there are 100 terms in the AP find its last term.​

Answer 1

Answer:

1195

Step-by-step explanation:

the 100th term is

12(100)-5

1200-5

1195

Answer 2

SOLUTION

GIVEN

• The nth term of an A.P is given by 12n – 5

• There are 100 terms in the AP

TO DETERMINE

The last term of the AP

EVALUATION

Here it is given that, in the AP ( Arithmetic progression) nth term is given by 12n - 5

$\sf{Let \: \: t_n \: \: be \: the \: nth \: term }$

$\sf{t_n = 12n - 5}$

Since there are 100 terms

∴ n = 100

∴ Last term of the AP

= 100 th term of the AP

$= \sf{ t_{100}}$

$= \sf{(12 \times 100) - 5}$

$= \sf{1200 - 5}$

$\sf{= 1195}$

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