Determine an expression for the nth term of the sequence

Reference no: EM132231639

Question 1

lucy is arranging 1-cent coin in row .the Patten of the coin in each row is shown below

1 Row : 1
2Row. : 5,1,5
3Row : 1,5,1,5,1
4Row. : 5,1,5,1,5,1,5
5Row. : 1,5,1,5,1,5,1,5,1

1.1 calculate the total number of coin in 40^th row
1.2 calculate the total value of the coin in the 40^th row
1.3 which row has coin with a total value of 337 cent ?
1.4 show that the total value of the coin in the first 40 row is 4800 cent

Question 2

the sum of the first term of a sequence is given by : Sn=n(23-3n)

1.1 write down the first three terms of the sequence
1.2 calculate the 15^th term of the sequence

Question 3

the sum of the second and third term of a geometric sequence is 280 ,and the sum of the fifth and the sixth term is 4375.Determine

3.1 the common ratio AND the first term
3.2 the sum of the first 10 terms

Question 4

given the series : 2(5)^5 + 2(5)^4 +2(5)^3+......

show that this series is converges

Question 5

if 2 ; x ; 18,...are the first three terms of a geometric sequence, determine the value(a) of x

Question 6

given Tn=3^n+1. which term is the first to exceed 20 000?

Question 7

the sequence 3 ; 9 ; 17 ; 27 ;....is quadratic sequence

1. write down the next term of the sequence
2. determine an expression for the n^th term of the sequence
3. what is the value of the first term of the sequence that is the greatest than 269?

Reference no: EM132231639

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