10 grade maths
Write the correct number in the given boxes from the following A.P. 2, _ , 26.
Write the correct number in the given boxes from the following A.P. 2, _ , 26.
1 Answer
Askiitians Tutor Team
To find the missing term in the arithmetic progression (A.P.) 2, _, 26, let's go through the steps.
In an A.P., the difference between consecutive terms is constant. This difference is called the common difference (d).
The first term (a) is 2.
The third term is 26.
Let the second term be x.
The formula for the nth term of an A.P. is:
Tn = a + (n - 1) * d
For the third term (T3), we have:
T3 = a + 2d = 26
Substituting a = 2:
2 + 2d = 26
Now, solve for d:
2d = 26 - 2 2d = 24 d = 12
Now that we know the common difference is 12, we can find the second term.
The second term (T2) is:
T2 = a + d = 2 + 12 = 14
So, the missing term is 14.
Thus, the A.P. is 2, 14, 26.
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