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Answer :
Final answer:
To find the number of terms in the given arithmetic progression (AP), we can use the formula n = (Sn - a + d)/d, where n is the number of terms, Sn is the sum of the first n terms, a is the first term, and d is the common difference.
Explanation:
To find the number of terms in a given arithmetic progression (AP), we can use the formula:
n = (Sn - a + d)/d
where n is the number of terms, Sn is the sum of the first n terms, a is the first term, and d is the common difference.
In this case, a = 1, Sn = 399, and d is not given. To determine d, we can use the formula:
Sn = n/2(2a + (n-1)d)
Substituting the given values, we can solve for d:
399 = n/2(2 + (n-1)d)
Now, we can substitute the value of d into the first formula to find n:
n = (399 - 1 + d)/d
Plug in the value of d and solve for n.
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