How many terms are there in 20, 25, 30......... 140a)22b)25c)23d)24Correct answer is option 'B'. Can you explain this answer?

Question

Accepted Answer

Number of terms = { (1st term - last term) / common difference} + 1
= {(140-20) / 5} + 1
⇒ (120/5) + 1
⇒ 24 + 1 = 25.

Answer

Yes
there is 25term
20to50 = 6term
50to 100=10term
100to 140=8term+ 1

Answer

To find the number of terms in the given sequence, we can use the formula for the nth term of an arithmetic sequence:

nth term = first term + (n - 1) * common difference

In this case, the first term is 20 and the common difference is 5 (since each term increases by 5). We need to find the value of n when the nth term is 140.

140 = 20 + (n - 1) * 5

Now we can solve for n:

140 - 20 = (n - 1) * 5
120 = 5n - 5
125 = 5n
n = 25

So there are 25 terms in the given sequence.

Explanation:
The given sequence starts with 20 and each term increases by 5. To find the number of terms, we need to determine the value of n when the nth term is 140. Using the formula for the nth term of an arithmetic sequence, we can set up an equation and solve for n. By simplifying the equation, we find that n is equal to 25. Therefore, there are 25 terms in the sequence.

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