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Find the first term and the common difference of an AP, if the

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Find the first term and the common difference of an AP, if the $3^{r d}$ term is $6$ and the $1^{t h}$ term is $34$ .

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Find the first term and the common difference of an AP, if the

3^{r d}

term is

6

and the

1^{t h}

term is

34

13 mins ago

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13 mins ago

Text solutionVerified

If a is the first term and d is the common difference, then nth term,

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

Since,

a_{3} = 6

a_{17} = 34

∴ a + 2 d = 6

...(1)
&

a + 16 d = 34

...(2)
On subtracting equation (1) from equation (2), we get

14 d = 28

\Rightarrow

d = 2

Substituting the value of d in equation (1), we get

a = 2

∴

a = 2

and

d = 2

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Question Text	Find the first term and the common difference of an AP, if the $3^{r d}$ term is $6$ and the $1^{t h}$ term is $34$ .
Answer Type	Text solution:1
Upvotes	150