# Find the sum of those integers from 1 to 500 which are multiples of 2 as well as of 5. - Mathematics

Sum

Find the sum of those integers from 1 to 500 which are multiples of 2 as well as of 5.

#### Solution

Same as part (i)

But multiples of 2 as well as 5 from 1 to 500 is 10, 20, 30,…, 500.

∴ a = 10, d = 10, an = l = 500

∵ an = a + (n – 1)d = 1

⇒ 500 = 10 + (n – 1)10

⇒ 490 = (n – 1) 10

⇒ n – 1 = 49

⇒ n = 50

∵ S_n = n/2(a + 1)

⇒ S_50 = 50/2(10 + 500) = 50/2 xx 510

=  50 × 255

= 12750

Concept: Sum of First n Terms of an A.P.
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.4 | Q 2.(ii) | Page 57
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