Mathematics: Sum in sigma notation and find the sum of each series 150+140+130+120+110+100

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Sum in sigma notation and find the sum of each series

23rwilliamson

13.03.2022

we are given

150+140+130+120+110+100

first term is 150

so,

a_1=150

now, we can find common difference

d=140-150

d=-10

now, we can find nth term

a_n=a_1+(n-1)d

a_n=150+(n-1)*-10

a_n=-10n+160

we can see that

total number of terms is 6

so, we can write it in sigma form as

$\sum _{n=1}^6\:\left(-10n+160\right)$

now, we can find sum

sum=750 .............Answer

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