Math, asked by anushkothuri, 11 months ago

find the sum of all natural numbers between 1 to 200 which are multiples of 5

Answers

Answered by kanakjoshi
4

Answer:

3900

Step-by-step explanation:

AP formed : 5 , 10 , 15 , 20 , 25 ...... 195

a = 5

d = 5

an = 195

an = a + (n-1)(d)

195 = 5 + (n-1)(5)

195 = 5 + 5n -5

195 = 5n

n = 39

Sn = n/2 [ 2a + (n-1)(d)]

Sn = 39/2 [ 2(5) + (39-1)(5)]

Sn = 39/2 [ 10 + 190 ]

Sn = 39/2 × 200

Sn = 3900

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