Question

write three arithmetic sequences with 30 as the sum of the first five terms?​

Answer 1

Step-by-step explanation:

Sum(5) = (5/2)(2a + 4d) = 30 

2a + 4d = 12 

a + 2d = 6 

a = 6-2d 

so we can assign any value to d 

e.g. d = 7 

then a = 6-14 = -8 

one possible sequence is: 

-8 , -1, 6, 13, 20 

(their sum is 30) 

let d = 3 

a = 6-6 = 0 

terms are: 

0, 3, 6, 9, 12 

(their sum is 30) 

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