Question

If the 7th term of an A.P. is 4 and its common difference is -4, then what is its first term?

• A. \( 16 \)
• B. \( 20 \)
• C. \( 24 \)
• D. \( 28 \)

Hint:

The \( n \)th term of an A.P. is given by: \[ a_n = a + (n-1) d. \] Rearrange this formula to find any missing term.

Answer 1

The Correct Option is C

The general formula for the \( n \)th term of an arithmetic progression is given by: \[ a_n = a + (n-1) d \] Substituting the given values: \[ 4 = a + (7-1) (-4) \] \[ 4 = a + 6(-4) \] \[ 4 = a - 24 \] \[ a = \]