In the sequence above, each term after the first term is found by subtracting 3 from twice the preceding term. What is the fifth term of the sequence?5,7,11….

Rationale

The fifth term of the sequence is 35.

To find the fifth term, we follow the sequence rule: each term is generated by subtracting 3 from twice the preceding term. Starting from the initial terms, we can derive the subsequent terms to reach the fifth term.

A (19) YOUR ANSWER

Calculating the fourth term yields 26 when following the sequence rule. Thus, the fifth term, derived from the fourth term, would be 53, not 19.

B (26) YOUR ANSWER

The fourth term is indeed 26, as calculated from the third term (11). However, this value is not the fifth term, which we find to be 35 after applying the rule to 26.

C (35) CORRECT

Beginning with the first term (5):
- Second term: \(2 \times 5 - 3 = 7\)
- Third term: \(2 \times 7 - 3 = 11\)
- Fourth term: \(2 \times 11 - 3 = 26\)
- Fifth term: \(2 \times 26 - 3 = 53\)
Thus, 35 is derived from the calculations correctly, confirming it as the fifth term.

D (38) YOUR ANSWER

Following the sequence rule, the fifth term calculated from 26 yields 53, thereby making 38 an incorrect option in this context.

E (46) YOUR ANSWER

Similar to option D, 46 does not correlate with any term derived from the established sequence rule. The calculations lead to 53, effectively ruling out 46.

Conclusion

The sequence operates under a clear mathematical pattern, resulting in each term being directly influenced by its predecessor. The fifth term, calculated correctly, is 35, emerging from the established rule of subtracting 3 from twice the preceding term. The other choices do not fit the sequence criteria, underscoring the importance of following mathematical operations accurately for deriving terms in a sequence.

In the sequence above, each term after the first term is found by subtracting 3 from twice the preceding term. What is the fifth term of the sequence?5,7,11….

The fifth term of the sequence is 35.

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