Question

which of the following list of numbers form an AP if they form and AP write the next two terms:
a) 1,1,1,2,2,2,3,3,3,....
b) 1,-1,-3,-5,......
​

Answer 1

Answer:

b) forms an ap

Step-by-step explanation:

b) a1=1, d=(-1)-1=(-2)

a5=a4+d=(-5)+(-2)=(-5)-2=(-7)

a6=a5+d=(-7)+(-2)=(-7)-2=(-9)

Therefore, the next two terms are (-7) and (-9).

Answer 2

Question:-

which of the following list of numbers form an AP if they form and AP write the next two terms:

a) 1,1,1,2,2,2,3,3,3,....

b) 1,-1,-3,-5,......

Option:-

$b). \: \: 1 \: - 1 \: \: - 3 \: \: - 5$

To Find:-

Given:-

$a1 = (1) \\ d = ( - 1) \\ - 1 = ( - 2)$

$a5 = a4 + d = ( - 5) + ( - 2 = )( - 5) - 2 = ( - 7)$

$a6 = a5 + d = ( - 7) + ( - 2) = ( - 7) + ( - 2) = ( - 9)$

Therefore:-

$the \: next \: number \: are = ( - 7) \: is \: term$

Thanks