Question

Find the sum of all natural number between 100 and 150

Answer 1

Answer:

Step-by-step explanation:

Have to find the sum of all natural numbers between 100 & 150

First term = T₁ = 101

Common difference = d = 1

Last term = 149

Have to find which term of the sequence is 149

xₙ = a + (n-1)d

149 = 101 + (n-1)1

149 = 101 + n - 1

150 = 101 + n

n = 49

T₄₉ = 149

Sₙ = ⁿ/₂(a + l)

S₄₉ = ⁴⁹/₂(101 + 149)

S₄₉ = ⁴⁹/₂ × 250

S₄₉ = 6,125

Hence the sum of all natural number between 100 and 150 is 6,125