Sequences and Series TEST

Organize these options into the right categories

$$18-12+8-...+\frac{512}{729}-\frac{1024}{2187}=$$

ROUND YOUR ANSWER TO 4 significant figures

$$-4-7-10-...-106=$$

Write down the general formula for the following sequence:

$$7,\ 24,\ 41,\ 58\ ,75,...$$

Write down the general formula for the following sequence:

$$27,\ -36,\ 48,\ -64,...$$

THe following is a geometric sequence: $$a_3=12\ and\ a_7=\frac{64}{27}$$

find a₁₀
write as fraction

The following is an arithmetic sequence:

a₄ = -5.5 and a₉ = -18.

FInd a₁

Consider a ball that is dropped from a height of 38.28 m and bounces back up 60% of the original height. Find the total distance travelled by the ball by the time it hits the ground for the tenth time.

ROund your answer to 3 decimal places

(a)