Question

in ap if 10th term of an ap is 18 and 18th term is 10 and find 28th term​

Answer 1

Step-by-step explanation:

We know that the n

th

term of the arithmetic progression is given by a+(n−1)d

Given that 10

th

term of an A.P. is 41

Therefore, a+(10−1)d=41

⟹a+9d=41 ---------(1)

Given that 18

th

term of an A.P. is 73

Therefore, a+(18−1)d=73

⟹a+17d=73 ---------(2)

subtracting eqn (2) from eqn (1) gives (a+17d)−(a+9d)=73−41

⟹8d=32

⟹d=4

substituting d=4 in eqn (1) we get

a+9(4)=41

⟹a=41−36=5

Therefore, 26

th

term is a+(26−1)d=5+25(4)=105

Answer 2

Answer:

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