Question

change ander Rule methods
*-2, 5, 10, 17, 263
ई​

Answer 1

Answer:

We can find the next three elements of the original sequence as requested.

To do this, add three more

2

's to the last sequence:

2

,

2

,

2

,

2

,

2

,

2

Then add three more terms to the previous sequence using the three new elements of this sequence as differences:

3

,

5

,

7

,

9

,

11

,

13

,

15

Then add three more terms to the original sequence using the three new elements of this sequences as differences:

2

,

5

,

10

,

17

,

26

,

37

,

50

,

65

(2) We can find a general formula for then

n

th term

a

n

of the sequence by using the initial terms

2

,

3

,

2

of the sequences (i), (ii) and (iii) as coefficients: