Nth Term of AP
Nth Term of an AP
The nth term of an AP is
Illustration 1. Find the fifteenth term of the AP - 3, - 9, - 15, ...
A - 87 B -84 C. -88 D. -90
Answer: A
Solution: in the given series -3, -9,-15
The difference between second and first term is
-9 -(-3) = -9 + 3 = -6
The difference between third and second term is
-15 -(-9) = -15 + 9 = -6
Thus here
a = -3, d = -9 - (-3) = - 6 and n = 15
The formula to find the nth term is
Substituting the values, we get
= -3 + (14) (-6)
= -3 + (14) (-6)
= -3 + (-84)
= -87
Hence the correct option is A
Determine the number of terms in the A.P.3,7,11,...407. Also ,find its 20th term from the end . | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
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10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
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10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
