Question

write the algebraic form of the sequence 2 5 8 11 14 17​

Answer 1

Answer:

Step-by-step explanation:

The sum of the members of a finite arithmetic progression is called an arithmetic series.

Using our example, consider the sum:

2+5+8+11+14+17+20+23

This sum can be found quickly by taking the number n of terms being added (here 8), multiplying by the sum of the first and last number in the progression (here 2 + 23 = 25), and dividing by 2:

n(a1+an)

2

8(2+23)

    2

The sum of the 8 members of this series is 100

This series corresponds to the following straight line y=3x+2

Answer 2

Refer to this

Arithmetic sequence is 8,11,14,....

First term, a=8 and common difference, d=11−8=3

Thus, nth term of the sequence is

tn=a+(n−1)d=8+(n−1)3=8+3n−3=3n+5

Thus, the algebraic form of the given arithmetic sequence is 3n+5