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# Find the first six terms of the sequence. a_{1} = -7, a_{n} = 2 • a_{n-1}

**Solution:**

It is given that

a_{1} = -7

As the sequence is recursive, we can obtain the next term by multiplying the previous term by 2

Here the given series is a geometric progression with a common ratio equal to 2.

a_{2} = 2 × a_{1} = 2 × -7 = -14

a_{3} = 2 × a_{2} = 2 × -14 = -28

a_{4} = 2 × a_{3} = 2 × -28 = -56

a_{5} = 2 × a_{4} = 2 × -56 = -112

a_{6} = 2 × a_{5} = 2 × -112 = -224

a_{7} = 2 × a_{6} = 2 × -224 = -448

Therefore, the first six terms are -7, -14, -28, -56, -112, -224 and -448.

## Find the first six terms of the sequence. a_{1} = -7, a_{n} = 2 • a_{n-1}

**Summary:**

The first six terms of the sequence. a_{1} = -7, a_{n} = 2 • a_{n-1} are -7, -14, -28, -56, -112, -224 and -448.

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