Question 22

The fifth term in the sequence is 1/8.

To find the fifth term of the sequence, we start with the first term, which is 2, and each subsequent term is calculated by multiplying the previous term by -1/2. Thus, the fifth term can be determined through repeated multiplication of the initial term.

A) -0.03125

This option is incorrect. It does not correspond to any term in the sequence generated by starting with 2 and multiplying by -1/2. The calculations lead to values distinctly different from -0.03125.

B) -0.0625

This option is also incorrect. Following the sequence from the first term of 2 results in values that do not reach -0.0625. The terms calculated do not align with this value at any point.

C) 1/8

This option is correct. By calculating the terms sequentially: the second term is 2 * (-1/2) = -1, the third term is -1 * (-1/2) = 0.5, the fourth term is 0.5 * (-1/2) = -0.25, and the fifth term is -0.25 * (-1/2) = 1/8.

D) 1.4

This option is incorrect. The values generated by the sequence do not approach 1.4. Following the multiplication rule, the terms consistently yield results that are either negative or fractions, not reaching the value of 1.4.

Conclusion

The correct answer is definitively 1/8 as it is the result of the sequence generated by the rule provided. All other options do not match any term derived from the established pattern of multiplying by -1/2, confirming that they are incorrect.