(a) The 3 and 4 terms of a geometric progression 4 and 8 respectively. Find The first term and the common ratio.
The sum of the first 10 terms,
The value of the 7 term.

below

Step-by-step explanation:

first term : 1

common ratio : 2

sum of the first 10 terms: 1023

value of the 7th tern: 64

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.