PreCalculus (Mathematical Induction)

What type of sequence is this?

5, 9/2, 4, 7/2, 3, 5/2, 2

• Arithmetic sequence

• Arithmetic series

• Harmonic sequence

• Geometric sequence

The sum of the first n terms of an arithmetic series is -85.5. The first term of the series is -27/3 and the common difference is 1/2. How many terms are in the series?

• 16

• 17

• 18

• 20

What is the sum of the first 35 terms in an arithmetic series with the first term 18, common difference -12?

• 770

• 775

• 870

• 875

Find the sum of the first 105 terms in an arithmetic series with the first term 95876 is 7, 271, 880. Find the last term?

• 6998

• 6754

• 7168

• 72636

Find the sum of the first 15 terms in a geometric series with the first term 81, 920 and the ratio 1/2.

• 32/3

• 5

• 18

• 1589/3

Find the sum of the first 20 terms in a geometric series with the first term 9 and the common ratio -1.

• -20

• 20

• 15

• 415/2

Find the sum of the the following series

2+6+18+54+....

• -1

• 1

• infinity

• No sum

Find the sum of the following sequence

9, 13.5, 20.25, 30.375, ...

• -18

• 18

• No sum

Find the sum of the following series

2+4/3+8/9+16/27+ ...

• So sum

• 6

• -6

Expand the summation.

• -1800

• -1818

• -1825

• -1795