caylinclairehorton16 caylinclairehorton16

17-08-2020
Mathematics

contestada

Find the sum of the sequence. 42+43+44+45+...+107

Respuesta :

mhanifa mhanifa

17-08-2020

Answer:

4917

Step-by-step explanation:

Given sequence:

42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

Number of terms:

107 - 42 + 1 = 66

Sum of the terms:

Sₙ= 1/2*n*(a₁+aₙ)

Sₙ= 1/2*66*(42+107) = 4917

Answer is: 4917

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