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What is the {25^{th}} term of AP - 5,{{ - 5}}{2},0,{5}{2}.....

Question

What is the $2 5^{t h}$ term of $A P$ - 5,\dfrac{{ - 5}}{2},0,\dfrac{5}{2}............ \ \ ?

- 55

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Samuel Discussed

What is the

2 5^{t h}

term of

A P

- 5,\dfrac{{ - 5}}{2},0,\dfrac{5}{2}............ \ \ ?

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

First term of

A . P = - 5

Common difference

= \frac{- 5}{2} - (- 5) = \frac{5}{2}

25th term

= - 5 + (25 - 1) \times \frac{5}{2}

= - 5 + (24) \times \frac{5}{2}

= - 5 + 60

= - 55

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Question Text	What is the $2 5^{t h}$ term of $A P$ - 5,\dfrac{{ - 5}}{2},0,\dfrac{5}{2}............ \ \ ?
Answer Type	Text solution:1
Upvotes	150