Question

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

Answer 1

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

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Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

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

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

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