**Q1: a _{s} = s (s + 3) is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} = s (s + 3)

Putting s = 1, 2, 3, 4 and 5 respectively, in a_{s} = s (s + 3)

a_{1 }= 1 (1 + 3) = 4

a_{2 }= 2 (2 + 3) = 10

a_{3 }= 3 (3 + 3) = 18

a_{4 }= 4 (4 + 3) = 28

a_{5 }= 5 (5 + 3) = 40

The starting five terms of the sequence are 4, 10, 18, 28 and 40

**Q2: a _{s} = ss+2 is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} =

Putting s = 1, 2, 3, 4 and 5 respectively, in

a_{1 }=

a_{2 }=

a_{3 }=

a_{4 }=

a_{5 }=

The starting five terms of the sequence are

**Q3: a _{s} = 5^{s} is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} = 5^{s}

Putting s = 1, 2, 3, 4 and 5 respectively, in a_{s} = 5^{s}

a_{1 }= 5^{1} = 5

a_{2 }= 5^{2} = 25

a_{3 }= 5^{3} = 125

a_{4 }= 5^{4} = 625

a_{5 }= 5^{5} = 3125

The starting five terms of the sequence are 5, 25, 125, 625 and 3125.

**Q4: a _{s} = 2s+23 is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} =

Putting s = 1, 2, 3, 4 and 5 respectively, in

a_{1 }=

a_{2 }=

a_{3 }=

a_{4 }=

a_{5 }=

The starting five terms of the sequence are

**Q5: a _{s} = (−1)s–1+3s+1 is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} =

Putting s = 1, 2, 3, 4 and 5 respectively, in

a_{1 }=

a_{2 }=

a_{3 }=

a_{4 }=

a_{5 }=

The starting five terms of the sequence are 10, 26, 82, 242 and 730.

**Q6: a _{s} = (−1)s–13s+1 is the s^{th} term of a sequence. Find the starting five terms of the sequence.**

**Answer:**

a_{s} =

Putting s = 1, 2, 3, 4 and 5 respectively, in

a_{1 }=

a_{2 }=

a_{3 }=

a_{4 }=

a_{5 }=

The starting five terms of the sequence are

**Q7: a _{s} = s + 3^{s} is the s^{th} term of a sequence. Obtain the 17^{th} and 22^{nd} term in the required sequence.**

**Answer:**

a_{s} = s + 3^{s}

Putting s = 17 and 22 respectively, in a_{s} = s + 3^{s}

a_{17} = 17 + 3^{17}

a_{22} = 22 + 3^{22}

**Q8: a _{s} = 9+ss2 is the s^{th} term of a sequence. Obtain the 24^{th} term in the required sequence.**

**Answer:**

a_{s} =

Putting s = 24, in a_{s} =

a_{24} =

**Q9: a _{s} = (−1)s×6s is the s^{th} term of a sequence. Obtain the 11^{th} and 12^{th} term in the required sequence.**

**Answer:**

a_{s} =

Putting s = 11 and 12, in a_{s} =

a_{11 }=

a_{12 }=

**Q10. a _{s} = s+32+s is the s^{th} term of a sequence. Obtain the 21^{st} and 82^{nd} term in the required sequence.**

**Answer:**

a_{s} =

Putting s = 21 and 82, in a_{s} =

**Q11. Find out the starting five terms and also the following series of the required sequence given below:**

**a _{1} = 2, a_{s} = 2 a_{s – 1} for all s > 1**

**Answer:**

a_{1} = 2, a_{s} = 2 a_{s – 1} for all s > 1

a_{2} = 2 a_{1 }= 2 x 2 = 4

a_{3} = 2 a_{2 }= 2 x 4 = 8

a_{4} = 2 a_{3 }= 2 x 8 = 16

a_{5} = 2 a_{4 }= 2 x 16 = 32

The starting five terms of the sequence are 2, 4, 8, 16 and 32

The following series is 2 + 4 + 8 + 16 + 32 + …….

**Q12. Find out the starting five terms and also the following series of the required sequence given below:**

**a _{1} = 2, a_{s} = **

**Answer:**

a_{1} = 2, a_{s} = __>__ 3

The starting five terms of the sequence are

The following series is

**Q13. Find out the starting five terms and also the following series of the required sequence given below:**

**Answer**

a_{1} = a_{2} = 4, a_{s} = a_{s – 1} + 1 for all s > 4

a_{3} = a _{3 – 1} + 1 = a_{2} +1 = 4 + 1 = 5

a_{4} = a _{4 – 1} + 1 = a_{3} + 1 = 5 + 1 = 6

a_{5} = a _{5 – 1} + 1 = a_{4} + 1 = 6 + 1 = 7

The starting five terms of the sequence are 4, 4, 5, 6 and 7

The following series is 4 + 4 + 5 + 6 + 7 + ….

**Q14. The sequence of Fibonacci is described as 1 = a _{1} = a_{2} and a_{s} = a_{s – 1} + a_{s – 2}, n > 1. Obtain **

**Answer:**

1 = a_{1} = a_{2} and a_{s} = a_{s – 1} + a_{s – 2}, n > 1.

a_{3} = a_{2} + a_{1} = 1 + 1 = 2

a_{4} = a_{3} + a_{2} = 2 + 1 = 3

a_{5} = a_{4} + a_{3} = 3 + 2 = 5

a_{6} = a_{5} + a_{4} = 5 + 3 = 8

For s = 2 and 4 respectively,