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Answered

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Series:

Use the Arithmetic Series formula to calculate the sum:

-6+(-3)+0+ • • • + 162

(Hint: how many numbers are being added?)

Sagot :

DWRead

Answer:

Step-by-step explanation:

The common difference is 3.

nth term = -6+(n-1)3

-6+(n-1)3 = 162

(n-1)3 = 168

n-1 = 56

n = 57

162 is the 57th term.

S₅₇ = 57×(a_1+a_{57})/2

= 57×(-6+162)/2

= 57×156/2

= 57×78

= 57×(-6+162)/2

= 4446

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