Question

The 7th term of an AP is 4 and its common difference is -4 what is its first term?

Answer 1

a⁷ = a+6d = 4

d= -4

a⁷ = a+6×-4 =4

a-24 =4

a= 28

Answer 2

Answer:

Here, First term of the given A.P. is 28.

Step-by-step explanation:

Here, As per our given question,

=Seventh term of given A.P.=4

=Common difference(d) of the A. P.=(-4)

=First term(a) of the A. P.=?

=T7=a+(n-1)×d (Where n=4)

=4=a+(7-1)×(-4)

=4=a+6×(-4)

=4=a-24

=a-24=4

=a=4+24

a=28

Hence, First term of the given A. P. =28.

Thank you.