Question

What is the tenth term of the sequence: 3, 6, 11, 22, 27, 54, 59,--?

Answer 1

To find the tenth term of the sequence 3, 6, 11, 22, 27, 54, 59,..., we notice a pattern of alternating addition and multiplication with adjustments. Following this pattern, the ninth term is 117. Thus, the tenth term is also 117, as it directly follows the ninth term without additional operations.

Step-by-step explanation:

The sequence provided seems to follow a pattern of adding a certain number then multiplying by 2 alternately. To find the tenth term of the sequence, let's first identify the pattern it follows:

1. Start with 3.
2. Add 3, the result is 6.
3. Multiply by 2, the result is 12 but actually 11 in the sequence, indicating a subtraction of 1 after the multiplication.
4. Add 5, the result is 16 but actually 22 in the sequence, suggesting that we should actually add 11 after adding 5 (11 - 1 = 10).
5. The pattern seems to alternate between adding and multiplying with adjustments.
6. The ninth term, following this pattern, should be obtained by multiplying the eighth term (59) by 2 and then subtracting 1, resulting in 59*2 - 1 = 117.
7. Therefore, the tenth term is 117.