(c) i. How many terms in the GP 4, 3.6, 3.24,... are needed so that the sum exceeds 35? [5] ii. Find the sum of the terms in the GP 4, 3.6, 3.24,... [3]
iii.. How many different committees of 5 can be formed from 6 men and 4 women on which
there is at least one men and at least 2 women serve ? [5]
iv. Ramesh has 6 friends. In how many ways can he invite one or more of them at a dinner if
Lameck has to be there all the time. [5]

what are the statments

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week