Find the first term of an arithmetic progression- nbsp-if its 7-th term is 4 and common difference is -4- 7-20-28-27-

The correct option is C 28 Given that a_n = 4 nbsp;, n = 7 and nbsp;d = 4 General term nbsp;of an A.P is a_n=a_1+(n 1)d ⇒ nbsp;4 = a_1+ nbsp; (7 1) ...

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Standard X

Mathematics

General Form of an AP

Find the firs...

Question

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

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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 $= 28$

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Find the first term of an arithmetic progression, if its 7th term is 4 and common difference is -4.

The correct option is C 28 Given that an = 4 , n=7 and d=−4 General term of an A.P is an=a1+(n−1)d ⇒4=a1+(7−1)(−4) ⇒4= a1−24 ⇒a1=28 ∴ the first term of the given AP =28

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

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 $= 28$