Number series (next term): Multiply by 2 and add 2 (repeated linear recurrence). Given sequence: 1, 4, 10, 22, 46, ? Apply the same rule to find the next term. Choose the correct value.

Q: Number series (next term): Multiply by 2 and add 2 (repeated linear recurrence). Given sequence: 1, 4, 10, 22, 46, ? Apply the same rule to find the next term. Choose the correct value.

Pattern t(n) = 2×t(n−1) + 2 Step-by-step calculation 1 → 2×1+2 = 44 → 2×4+2 = 1010 → 2×10+2 = 2222 → 2×22+2 = 4646 → 2×46+2 = 94 Final Answer 94

Difficulty: Easy

64
86
94
122

Correct Answer: 94

Explanation:

Pattern
t(n) = 2×t(n−1) + 2

Step-by-step calculation
1 → 2×1+2 = 44 → 2×4+2 = 1010 → 2×10+2 = 2222 → 2×22+2 = 4646 → 2×46+2 = 94

Final Answer
94

More Questions from Series Completion

Number series (next term): Product of digits of the previous term. Given sequence: 66, 36, 18, ? Use the digit-product rule to continue the series. Choose the correct value.
Arithmetic progression (nth term): Find the 21st term of 3, 9, 15, ... Sequence parameters: first term a = 3; common difference d = 6. Compute t(21) using the AP formula. Choose the correct value.
Number series (fill the blank): Alternating +5 and −2 pattern. Given sequence: 28, 33, 31, 36, ?, 39 Identify the missing number following the alternating differences. Choose the correct value.
Number series (next square of consecutive odd integers): Continue the pattern. Given sequence: 1, 9, 25, 49, 81, ? Identify the next term as a perfect square of an odd number. Choose the correct value.
Number series (identify the missing square): Odd-number squares sequence. Given sequence: 1, 9, 25, 49, ?, 121 Fill the missing perfect square of an odd integer. Choose the correct value.
Number series (next term): Increasing differences follow n² − 1. Given sequence: 2, 2, 5, 13, 28, ? Use the difference pattern Δ = 1²−1, 2²−1, 3²−1, 4²−1, ... Choose the correct value.
Number series (mixed repeated-difference pattern): find the missing term to complete the sequence. Sequence: 0, 2, 8, 14, ?, 34 Choose the correct value that fits the pattern.
Number series (add consecutive squares): find the next term. Sequence: 1, 5, 14, 30, 55, 91, ? Choose the correct next value.
Arithmetic progression check: determine which option belongs to the series. Series: 10, 17, 24, 31, 38, … (constant difference) Choose the number that appears in this series.
Division-by-successive-integers pattern: identify the missing second term. Sequence: 240, ?, 120, 40, 10, 2 Assume successive divisions by 1, 2, 3, 4, and 5. Choose the correct missing value.

Discussion & Comments

No comments yet. Be the first to comment!