The missing term in the sequence 16, 45, ____ , 915, 5496, 38465 is

To find the missing term in the sequence 16, 45, ___, 915, 5496, 38465, we need to analyze the mathematical relationship between consecutive terms.

Step-by-Step Analysis
Examine the transitions:

16 to 45: 16 * 3 - 3 = 45

45 to 184: 45 * 4 + 4 = 184

184 to 915: 184 * 5 - 5 = 915

915 to 5496: 915 * 6 + 6 = 5496

5496 to 38465: 5496 * 7 - 7 = 38465

Identify the pattern:

The sequence alternates between multiplication/subtraction and multiplication/addition.

The multiplier increases by 1 each time (3, 4, 5, 6, 7).

The value being subtracted or added also increases by 1 each time (3, 4, 5, 6, 7) and alternates in sign (-, +, -, +, -).