question_answer

In an AP, if the common difference \[(d)=-4\] and the seventh term \[\left( {{a}_{7}} \right)\] is 4, then find the first term.

Answer:

Given,

\[d=-4\]

\[{{a}_{7}}=4\]

\[a+6d=4\]

\[a+6(-4)=4\]

\[a-24=4\]

\[a=4+24\]

\[a=28\]