Mathematics Past Questions

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1706

Find the value of log₁₀ r + log₁₀ r² + log₁₀ r⁴ + log₁₀ r⁸ + log₁₀ r¹⁶ + log₁₀ r³² = 63

A. 10^-1
B. 10^o
C. 10
D. 10²

View Answer & Discuss (1) JAMB 1994

1707

Find the nth term of the sequence 3, 6, 10, 15, 21.....

A. \(\frac{n(n - 1)}{2}\)
B. \(\frac{n(n + 1)}{2}\)
C. \(\frac{(n + 1)(n + 2)}{2}\)
D. n(2n + 1)

View Answer & Discuss (4) JAMB 1994

1708

A binary operation \(\oplus\) is defines on the set of all positive integers by a \(\oplus\) b = ab for all positive integers a, b. Which of the following properties does NOT hold?

A. closure
B. identity
C. positive
D. inverse

View Answer & Discuss (3) JAMB 1994

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1709

\(\begin{array}{c|c} \oplus mod 10 & 2 & 4 & 6 & 8 \\ \hline 2 & 4 & 8 & 2 & 6 \\4 & 8 & 6 & 4 & 2\\ 4 & 8 & 6 & 4 & 2\\ 6 & 2 & 4 & 6 & 8\\ 8 & 6 & 2 & 8 & 4\end{array}\)
The multiplication table above has modulo 10 on the set S = (2, 4, 6, 8). Find the inverse of 2