Question

the 11th term of AP is 16 and the 21st is 29 find the 16th term of AP​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

22

Step-by-step explanation:

Given :-

11th term of an A.P = 16 and

21st term is =29

SOLUTION:-

THUS we know that Nth term of an A.P=

a+(N-1)d

here (a) stands for first term of an A.P

and (d) stands for common difference of an A.p

so 11 term = 16 and 21 term = 29

• 29= a+ 20d. and
• 16= a+ 10d.

by solving these equations from ELIMINATION methord we get {d=6\5} and {a=4}.

here we know> 16 term of an A.P = a+15d

now subsitude the value of (a) and (d)

16th term = 4+15×6/5 =22.

Hence:- 16th term of an A.P= 22.