Question

find the sum of all natural number's between 1 to 175 which are divisible by 5 ​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Let a be the first term and d be the common difference of the given AP

The AP would be :

5,10,15,..................,175

Here

• First Term,a = 5

• Common Difference,d = 5

To finD :

Sum of all natural numbers between 1 and 175 divisible by 5

Last term :

$\boxed{ \sf{l = a + (n - 1)d}}$

Substituting the values,we get :

$\sf{175 = 5 + (n - 1)5} \\ \\ \implies \: \sf{5n - \cancel{5} + \cancel{5} = 175} \\ \\ \implies \: \sf{n = \frac{175}{5} } \\ \\ \implies \: \boxed{ \boxed{ \sf{n = 35}}}$

Sum of the Numbers :

$\sf{ \frac{35}{2} (5 + 175)} \\ \\ \longrightarrow \: \sf{ \frac{35}{2} \times 180} \\ \\ \longrightarrow \: \sf{3150}$

The sum of the numbers divisible by 5 between 1 and 175 would be 3150