Question

how many natural number between 23 and 137 are divisible by 7​

Answer 1

Ques :- How many numbers between 23 and 137 are divisible by 7 ?

${ \sf{ \bold{ \underline{Solution}}}} = >$

The given condition forms an Arithmetic Progression with

• First term (a) → 28

• Common Difference ( d) → 7

A.P :-- [ 28 , 35 , 42.........133 ]

Here we need to find the number of terms (n).

Using the formula ,

${ \bold{N {}^{th} \: term \implies\: A_n = a + (n-1) \: d}}$

$\implies133 = 28 + (n - 1)7 \\ \\ \implies105 = (n - 1)7 \\ \\ \implies \: n - 1 = \dfrac{105}{7} \\ \\ \implies \: n \: = 15 + 1$

${ \bold { \boxed {\sf{ n = 16}}}}$

•°• There are 16 natural numbers between 23 and 137 that are divisible by 7.

Answer 2

Answer:

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