If x is the nth term of the AP:521,11,1621,22...... with x=550, find ′n′.

We know, nth term an=a+(n−1)da= First termd= Common differencen= number of termsan=nth termHere, First term of A.P=521=211Common difference of A.P=11−211=211550=211+(n−1)21121089=(n−1)211n=100

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If x is the n^{th} term of the AP:,,5 {1}{2},,,11,,,16 {1}{2},

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If $x$ is the $n^{t h}$ term of the $A P : 5 \frac{1}{2}, 11, 16 \frac{1}{2}, 22......$ with $x = 550,$ find $^{'} n^{'}$ .

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Harper Discussed

x

is the

n^{t h}

term of the

A P : 5 \frac{1}{2}, 11, 16 \frac{1}{2}, 22......

with

x = 550,

find

^{'} n^{'}

6 mins ago

Discuss this question LIVE

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Text solutionVerified

We know,

n^{t h}

term

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

a =

First term

d =

Common difference

n =

number of terms

a_{n} = n^{t h}

term

Here, First term of

A . P = 5 \frac{1}{2} = \frac{11}{2}

Common difference of

A . P = 11 - \frac{11}{2} = \frac{11}{2}

550 = \frac{11}{2} + (n - 1) \frac{11}{2}

\frac{1089}{2} = (n - 1) \frac{11}{2}

n = 100

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Question Text	If $x$ is the $n^{t h}$ term of the $A P : 5 \frac{1}{2}, 11, 16 \frac{1}{2}, 22......$ with $x = 550,$ find $^{'} n^{'}$ .
Answer Type	Text solution:1
Upvotes	150

If x is the nth term of the AP:521​,11,1621​,22...... with x=550, find ′n′.

Text solutionVerified

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If $x$ is the $n^{t h}$ term of the $A P : 5 \frac{1}{2}, 11, 16 \frac{1}{2}, 22......$ with $x = 550,$ find $^{'} n^{'}$ .