Find the first term of an arithmetic progression, if its $7^{t h}$ term is 4 and common difference is -4.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
28

Given that
$a_{n}$ = 4 , $n = 7$ and $d = - 4$

General term of an A.P is
$a_{n} = a_{1} + (n - 1) d$
$\Rightarrow 4 = a_{1} + (7 - 1) (- 4)$
$\Rightarrow 4 = a_{1} - 24$
$\Rightarrow a_{1} = 28$

$∴$ the first term of the given AP $= 28$

Suggest Corrections

Similar questions

Find the first term of an arithmetic progression, if its $7^{t h}$ term is 4 and common difference is -4.

- 6

12^{t h}

126

7

7^{t h}

11

11^{t h}

4

22

\frac{1}{4}

7^{t h}

13^{t h}

34

64

Join BYJU'S Learning Program