Question

the 16thterm of an AP is thrice the 5thterm . if the 12th term is 20 more than the 7th term . find the first term and the common difference ​

Answer 1

Answer:

16th term is 16

Step-by-step explanation:

Given : The fifth term of an A. P. is thrice the second term and 12th term exceeds twice the 6th term by 1.

To find : The 16th term.

Solution : The general form of an Arithmetic Progression is

a, a+d, a+2d, a+3d and so on.

Thus, nth term of an AP series is  

where  = nth term , a = first term , d= common difference

Now,

Situation 1 - The fifth term of an A. P. is thrice the second term

......[1]

Situation 2- 12th term exceeds twice the 6th term by 1.

.......[2]

From equation [1] put value of d in equation [2]

Now, put value of a in d we get,

Therefore, a=1 and d=2

So, 16th term

Hence, 16th term is 16.

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Answer 2

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