ellie9902 ellie9902
  • 18-05-2021
  • Mathematics
contestada


2. Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 4 + 1 + 6 + ... + 66

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 18-05-2021

Answer:

Step-by-step explanation:

a=-9

d=-4-(-9)=-4+9=5

l=66

l=a+(n-1)d

66=-9+(n-1)5

66+9=(n-1)5

n-1=75/5=15

n=15+1=16

Sn=n/2 {-18+(n-1)5}

=n/2{5n-23}

so reqd. sum is ∑[n/2{5n-23}] where n from 1→16

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