Question

The fourth term of an arithmetic progression is one less than twice the second term. If the sixth term is 7,find the first term

Answer 1

Step-by-step explanation:

Just translate into Math using your definitions of an AP

a+5d = 7 **

a+ 3d = 2(a+d) - 1

a + 3d = 2a + 2d - 1

-a + d = -1 ***

add ** and ***

6d = 6

d = 1

back in **

a + 5=7

a = 2

the first term is 2

check:

sequence is 2,3,4,5,6,7,8, ...

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