Question

if 7th term of an ap -14 whose different is -2then the first term a.​

Answer 1

༒ Appropriate Question :-

If 7th term of an ap -14 whose common difference is -2 then the first term a.

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༒ Given :-

For an A.P.

7th term = -14

Common difference = -2

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༒ To Find :-

First term (a) of the corresponding A.P.

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༒ Key Formula :-

nth term of an A.P. is given by

$\bf a_{n} = a + (n - 1)d$

Where

a = 1st term

d = common difference

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༒ Solution :-

Here,

d = -2

And

$\sf a_7 = - 14 \\ \\ \implies \sf a + 6d = - 14 \\ \\ \sf \implies a + 6( - 2) = - 14 \\ \\ \implies \sf a - 12 = - 14 \\ \\ \purple{ \Large \bf \implies \underline{ \boxed{ \bf a = - 2}}}$

$\Large \red{\mathfrak{  \text{W}hich \:   \: is  \:  \: the  \:  \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswer.}}$

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Answer 2

$\huge{\mathbb{Solution↓}}$

Here,

d = -2

And

$\begin{gathered} \sf a_7 = - 14 \\ \\ \implies \sf a + 6d = - 14 \\ \\ \sf \implies a + 6( - 2) = - 14 \\ \\ \implies \sf a - 12 = - 14 \\ \\ \red{ \Large \bf \implies \underline{ \boxed{ \bf a = - 2}}}\end{gathered}$

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