Question

The sum of the first five terms of an arithmetic sequence is 150 and the sum of the first ten terms is 550

a) What is the third terms of the sequence

b) What is the 8th term

c) What are the first three terms of this sequence​

Answer 1

Step-by-step explanation:

this is the answer for your whole question and now it will help you....

Answer 2

Answer:

a) 30

b) 80

c) First three terms of this sequence : 0,15,30

Step-by-step explanation:

Let the first five terms be ( a-2d), (a-d), (a), (a+d), (a+2d)

then ,

(a-2d) + (a-d) + a + (a+d) + (a+2d) = 150

5a = 150

a = 30

then, d = 15 ( after inserting a value in (a-2d) = 0),

put the values of a and d in five terms and you will get

five sequence values as 0, 15, 30, 45, 60.

-the sum of first ten numbers is

1+2+3+4+5+6+7+8+9+10= 55 and there sum is already given with 550

so the terms would be

10+20+30+40+50+60+70+80+90+100 = 550

hence the ten terms of sum 550 are

10,20,30,40,50,60,70,80,90,100