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If the first term of an AP is 1.2 and the common difference is also...

Mathematics
NECO 2004

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

  • A. 2
  • B. 4
  • C. 5
  • D. 8
  • E. 10
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Correct Answer: Option C
Explanation

Given the first term \( a = 1.2 \) and common difference \( d = 2 \), the first five terms of the AP are:
\(a_1 = 1.2\)
\(a_2 = 1.2 + 2 = 3.2\)
\(a_3 = 1.2 + 4 = 5.2 \)
\(a_4 = 1.2 + 6 = 7.2 \)
\(a_5 = 1.2 + 8 = 9.2\)

The sum of the first five terms is:

\(\text{Sum} = 1.2 + 3.2 + 5.2 + 7.2 + 9.2 = 26\)

The mean is calculated as:

\(\text{Mean} = \frac{26}{5} = 5.2\)

Thus, the mean of the first five terms is \(5.2\).


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