Question

How many natural numbers lie between 26 and 43 ?

Answer 1

SOLUTION

TO DETERMINE

The number of natural numbers lie between 26 and 43

EVALUATION

Here we have to find the natural numbers lie between 26 and 43

So the set will be

27, 28, - - - , 42

This is an arithmetic progression

First term = a = 27

Common Difference = d = 1

Let there are n terms

∴ n th term = 42

∴ a + (n-1)d = 42

$\sf{27 + (n - 1)d = 42}$

$\sf{ \implies (n - 1) = 15}$

$\implies \sf{n = 16}$

FINAL ANSWER

The number of natural numbers lie between 26 and 43 are 16

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