Class 10 Exam > Class 10 Questions > Which term of the AP : 21, 42, 63, 84, ... is...
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Which term of the AP : 21, 42, 63, 84, ... is 210 ?
- a)9th
- b)10th
- c)11th
- d)12th
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which term of the AP : 21, 42, 63, 84, ... is 210 ?a)9thb)10thc)11thd)...
Here , a=21 and d = 42-21 = 21
Since, a+(n-1) d = an
Then , 210 = 21+(n-1)*21
210 = 21 + 21n - 21
21n = 210
n = 10.
Therefore, 10 th term of this AP is 210.
Hence, option b) is correct answer.
Since, a+(n-1) d = an
Then , 210 = 21+(n-1)*21
210 = 21 + 21n - 21
21n = 210
n = 10.
Therefore, 10 th term of this AP is 210.
Hence, option b) is correct answer.
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Community Answer
Which term of the AP : 21, 42, 63, 84, ... is 210 ?a)9thb)10thc)11thd)...
Given, the AP is 21, 42, 63, 84, ...
To find the term which is 210, we need to identify the position of 210th term in the AP.
We can use the formula for nth term of an AP, which is:
aₙ = a + (n-1)d
where a is the first term of the AP, d is the common difference, and n is the position of the term we are interested in.
To find the common difference, we can subtract any two consecutive terms of the AP:
42 - 21 = 21
63 - 42 = 21
84 - 63 = 21
So, the common difference is 21.
Now, we can use the formula to find the position of the term which is 210:
aₙ = 21 + (n-1)21
210 = 21 + (n-1)21
n-1 = 9
n = 10
Therefore, the 10th term of the AP is 210.
Hence, the correct answer is option B - 10th term.
To find the term which is 210, we need to identify the position of 210th term in the AP.
We can use the formula for nth term of an AP, which is:
aₙ = a + (n-1)d
where a is the first term of the AP, d is the common difference, and n is the position of the term we are interested in.
To find the common difference, we can subtract any two consecutive terms of the AP:
42 - 21 = 21
63 - 42 = 21
84 - 63 = 21
So, the common difference is 21.
Now, we can use the formula to find the position of the term which is 210:
aₙ = 21 + (n-1)21
210 = 21 + (n-1)21
n-1 = 9
n = 10
Therefore, the 10th term of the AP is 210.
Hence, the correct answer is option B - 10th term.
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Which term of the AP : 21, 42, 63, 84, ... is 210 ?a)9thb)10thc)11thd)12thCorrect answer is option 'B'. Can you explain this answer?
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