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How many terms are there in the AP 20, 25, 30,… 130.
- a)22
- b)23
- c)21
- d)24
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How many terms are there in the AP 20, 25, 30,… 130.a)22b)23c)21...
In order to count the number of terms in the AP, use the short cut:
[(last term – first term)/ common difference] + 1. In this case it would become:
[(130 – 20)/5] +1 = 23. Option (b) is correct.
[(last term – first term)/ common difference] + 1. In this case it would become:
[(130 – 20)/5] +1 = 23. Option (b) is correct.
Most Upvoted Answer
How many terms are there in the AP 20, 25, 30,… 130.a)22b)23c)21...
AP=a +(n-1)d here AP is 130,a is 20, and d i.e difference is 5 so from here we get this........... 130=20 +(n-1)5,,,,,,,, (110/5)+1=n ,,,22+1= 23 . so here is our answer
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Community Answer
How many terms are there in the AP 20, 25, 30,… 130.a)22b)23c)21...
Given AP: 20, 25, 30, 130
To find: Number of terms in the AP
Solution:
Let's find the common difference (d) of the given AP.
d = 25 - 20 = 30 - 25 = 130 - 30 = 5
Let the number of terms be 'n'.
The nth term of an AP is given by the formula:
an = a1 + (n - 1)d
where a1 is the first term and d is the common difference.
We know that the last term of the given AP is 130.
Thus, 130 = 20 + (n - 1)5
Simplifying the above equation, we get:
110 = 5n - 5
115 = 5n
n = 23
Therefore, the number of terms in the given AP is 23.
Hence, the correct option is (B) 23.
To find: Number of terms in the AP
Solution:
Let's find the common difference (d) of the given AP.
d = 25 - 20 = 30 - 25 = 130 - 30 = 5
Let the number of terms be 'n'.
The nth term of an AP is given by the formula:
an = a1 + (n - 1)d
where a1 is the first term and d is the common difference.
We know that the last term of the given AP is 130.
Thus, 130 = 20 + (n - 1)5
Simplifying the above equation, we get:
110 = 5n - 5
115 = 5n
n = 23
Therefore, the number of terms in the given AP is 23.
Hence, the correct option is (B) 23.
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How many terms are there in the AP 20, 25, 30,… 130.a)22b)23c)21d)24Correct answer is option 'B'. Can you explain this answer?
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