1 If the 2nd and 5th terms of a G. P are 6 and 48 respectively, find the sum of the first for term

If the first term is , then the second term is , the third is , the fourth is , and the fifth is .

We're given

So the first five terms in the GP are

3, 6, 12, 24, 48

Adding up the first four gives a sum of 45.

If you were asked to find the sum of many, many more terms, having a formula for the n-th partial sum would convenient. Let denote the sum of the first n terms in the GP:

Multiply both sides by 2:

Subtract this from , which eliminates all the middle terms:

Then the sum of the first four terms is again .

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation: