Math, asked by Keerthan3756, 10 months ago

How many terms are there in the Ap? 7,13,19.......,205.

Answers

Answered by prathamzalavadiya
3

Answer:

Step-by-step explanation:

Here is your answer ,Refer to the following attachment

Answered by Anonymous
1

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 =  >n =  34

\Large{\underline{\underline{\bf{QuEsTiOn:-}}}}

How many term are these in the AP 7,13,19,...........205?

\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}}

Given sequence is 7,13,19,...,205

Given sequence is 7,13,19,...,205The first term a=7 and

The common difference d=13−7=6

The last term is 205

Let the last term be the nth term.

We know that the nth term of the arithmetic progression is given by -

 =  > a+(n−1)d

 =  > a+(n−1)d=205

 =  &gt; 7+(n−1)×(6)=205</p><p></p><p>

 =  &gt; 7− \: 6+6n=205</p><p></p><p>

 =  &gt; 1+6n=205</p><p></p><p>

 =  &gt; 6n=205−1

 =  &gt; 6n = 204

 =  &gt;n =   \frac{204}{6}

 =  &gt; n = 34

\sf\underline{\underline{\green{THEREFORE, \: }}}

The number of terms in the given sequence is 34

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