Answer:
i. 48
ii. 144
iii. 192
iv. 276
Explanation:
You want to know the terms at positions 4, 12, 16, and 23, if the applicable rule tells you the terms at positions 7, 8, and 9 are 84, 96, and 108, respectively.
Rule
The differences of the given successive terms of the sequence are ...
96 -84 = 12
108 -96 = 12
We also notice that term 7 has a value that is 12 times its position, 84. This suggests the position-to-term rule is ...
beads = 12×jars
Terms
Multiplying jars by 12, we find the numbers of beads to be ...
i. 4·12 = 48
ii. 12·12 = 144
iii. 16·12 = 192
iv. 23·12 = 276
<95141404393>