For an given A.P. t7 = 4, d = – 4 then a = . . . - Vidyadip

MCQ

For an given A.P. t₇ = 4, d = – 4 then a = . . .

A
6
B
7
C
20
✓
28

✓

Answer

Correct option: D.

(D) 28
Now, By using n^th term of an A.P. formulat_n = a + (n – 1)d
where n = no. of terms
a = first term
d = common difference
t_n = n^th terms
⇒ t₇ = a + (7 – 1) × ( – 4)
⇒ 4 = a + 6 × ( – 4)
⇒ 4 = a – 24
⇒ a = 24 + 4 = 28
Thus, the correct answer is (D)

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