Math, asked by keerthan2702, 9 months ago

Find the sum of all the numbers between 200 and 600 which are divisible by 16

Answers

Answered by malikmohaman

Numbers between 200 and 600 which are divisible by 16 are ( 208, 224, ...,592 )

First term (a) = 208

Common difference (d) = 16

Last term (l) = 592

Let the numbers between 200 and 600 which are divisible by 16 be n . Then

Using AP formula

$l = a + (n - 1)d \\ 592 = 208 + (n - 1)16 \\ 592 = 208 + 16n - 16 \\ 16n = 592 - 208 + 16 \\ 16n = 592 - 192 \\ 16n = 400 \\ n = \frac{400}{16} \\ n = 25$

Let the sum of n numbers be Sn .Then

Using AP formula

$s _{n} = \frac{n}{2} (a + l) \\ s _{n} = \frac{25}{2} (208 + 592) \\ s _{n} = \frac{25}{2} \times 800 \\ s _{n} = 25 \times 40 \\ s _{n} = 1000$

Sum of the numbers between 200 and 600 which are divisible by 16 is 1000

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answered by PrathameshDhembre10

Answer:

210+280+350+420+490+560=2330

Step-by-step explanation:

210+280+350+420+490+560=2330

Previous Question

Next Question