Question

If nth term of an AP is given by an = 5n-3. Find the sum of its 50 terms.​

Answer 1

Answer:

put n= 1

a1 = 2

put n=2

a2 = 7

d= a2-a1

= 5

Sn = 50/2 { 2*2 +( 50-1)*5 }

= 25( 4 + 245)

= 25*249

= 6225

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Answer 2

put n = 1

a1 = 5n - 3

= 5(1) - 3

= 2

put n = 2

a2 = 5n - 3

= 5(2) - 3

= 7

d = 7 - 2 = 5

$S_{50} = \frac{50}{2}[2×2 + (50-1)5]$

$S_{50} = 25 [4 + 245]$

$S_{50} = 6225$