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Answers
Answer:
336
Step-by-step explanation:
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ANSWER↷
➛ 783
EXPLANATION↷
In this question we have given an A.P. and we have to find which one of the following is a part of this A.P.
To find the required no. we have to put all values in the formula of A.P.
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GIVEN:
- AP- 72,81,90,99....
TO FIND:
- Out of 336,409,600 and 783, which is the term of given A.P.
SOLUTION:
- A(first term)=72
- D(Common difference)=81-72=9
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Let's try with first term!
1.) 336
✬ An=A+(n-1)D
⇒ 336=72+(n-1)9
⇒ 336=72+9n-9
⇒ 336=63+9n
⇒ 336-63=9n
⇒ 273=9n
⇒ 273/9=n
Here term of A.P. can't be in decimal so 336 is not a part of this A.P.
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Let's try with 2nd term!
2.) 409
✬ An=A+(n-1)D
⇒ 409=72+(n-1)9
⇒ 409=72+9n-9
⇒ 409=63+9n
⇒ 409-63=9n
⇒ 346=9n
⇒ 346/9=n
Here term of A.P. can't be in decimal so 409 is also not a part of this A.P.
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Let's try with 3rd term!
3.) 600
✬ An=A+(n-1)D
⇒ 600=72+(n-1)9
⇒ 600=72+9n-9
⇒ 600=63+9n
⇒ 600-63=9n
⇒ 537=9n
⇒ 537/9=n
Here term of A.P. is again in decimal form so 600 is also not a term of this A.P.
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Let's try with the 4th term!
4.) 783
✬ An=A+(n-1)D
⇒ 783=72+(n-1)9
⇒ 783=72+9n-9
⇒ 783=63+9n
⇒ 720=9n
⇒ 720/9=n
⇒ 80=n
Here we can completely divide this fraction and value of n comes out to be 80.
∴80th term of this A.P. is 783.
This is the final answer.