Reasoning

Evaluate the two proposed answers. Which are supported? I. 64,32,16,8,... with repeated halving — the next term under the stated rule: 4. II. AB,DE,GH,JK,... moving both letters forward by three — the next term under the stated rule: MN.

For 1,3,6,10,15,... adding consecutive positive integers, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. A,C,F,J,O,... using alphabet positions with increments 2,3,4,5,... — the next term under the stated rule: EV. II. 1,2,6,24,120,... as successive factorials — the next term under the stated rule: 720.

For 1,4,9,16,25,... as consecutive squares, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 100,96,88,76,... subtracting 4,8,12,... — the next term under the stated rule: 60. II. 2,5,10,17,26,... with successive positive odd increments — the next term under the stated rule: 37.

For 64,32,16,8,... with repeated halving, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 5,7,11,13,17,... as consecutive primes starting at five — the next term under the stated rule: 19. II. 3,6,5,10,9,18,... alternating ×2 and −1 — the next term under the stated rule: 95.

Evaluate the two proposed answers. Which are supported? I. 2,5,10,17,26,... with successive positive odd increments — the next term under the stated rule: 37. II. 1,3,6,10,15,... adding consecutive positive integers — the next term under the stated rule: 21.

For A,C,F,J,O,... using alphabet positions with increments 2,3,4,5,..., identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 81,27,9,3,... with repeated division by three — the next term under the stated rule: 1. II. 1,8,27,64,... as consecutive cubes — the next term under the stated rule: 42.

For 2,6,12,20,30,... with nth term n(n+1), identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 5,7,11,13,17,... as consecutive primes starting at five — the next term under the stated rule: 36. II. 2,5,10,17,26,... with successive positive odd increments — the next term under the stated rule: 36.

For 1,5,14,30,55,... adding 2²,3²,4²,5²,..., identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. A,C,F,J,O,... using alphabet positions with increments 2,3,4,5,... — the next term under the stated rule: MN. II. 1,8,27,64,... as consecutive cubes — the next term under the stated rule: 21.

For 1,4,2,8,3,12,... interleaving n and 4n, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 2,4,12,48,240,... multiplying by 2,3,4,5,... — the next term under the stated rule: 1440. II. 5,7,11,13,17,... as consecutive primes starting at five — the next term under the stated rule: 37.

For 3,6,5,10,9,18,... alternating ×2 and −1, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 1,4,9,16,25,... as consecutive squares — the next term under the stated rule: 125. II. 2,5,10,17,26,... with successive positive odd increments — the next term under the stated rule: 37.

For 100,96,88,76,... subtracting 4,8,12,..., identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 1,3,6,10,15,... adding consecutive positive integers — the next term under the stated rule: H. II. 1,4,2,8,3,12,... interleaving n and 4n — the next term under the stated rule: 36.

For 2,4,12,48,240,... multiplying by 2,3,4,5,..., identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 5,7,11,13,17,... as consecutive primes starting at five — the next term under the stated rule: 19. II. 100,96,88,76,... subtracting 4,8,12,... — the next term under the stated rule: 4.

Evaluate the two proposed answers. Which are supported? I. 64,32,16,8,... with repeated halving — the next term under the stated rule: EV. II. 1,5,14,30,55,... adding 2²,3²,4²,5²,... — the next term under the stated rule: 91.

For 1,8,27,64,... as consecutive cubes, identify the next term under the stated rule.

Evaluate the two proposed answers. Which are supported? I. 1,5,14,30,55,... adding 2²,3²,4²,5²,... — the next term under the stated rule: 91. II. 1,4,2,8,3,12,... interleaving n and 4n — the next term under the stated rule: 36.