Directions: Compute the value of (c) and (d), then answer the question given below: (c), (d), 202, 208, 216, 226, 238, 252, 268 From (d), a new series started. The second term of the series is (d + 3²), the third term of the series is (d + 4³), and the fourth term of the series is (d + 5⁴). Find the 5^th term of the series.

The differences between the known terms of the series (202, 208, 216, 226, 238, 252, 268) are 6, 8, 10, 12, 14, and 16. Extending this pattern backward, the difference before 6 must be 4, making the second term 198, and the difference before that must be 2, making the first term 196. Since the new series starts from the value of d, which is 198, its fifth term is calculated by adding the specified values sequentially: 198 + 32 + 43 + 54 equals 327. This can be rewritten as the initial value 198 plus the sum of the additions, giving 198 + 65.

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