1)The algebraic expression of arithmetic sequence is 3-5n a) find its common difference. b) find the first term. c) form the sequence
Answers
Answer:
MARK ME AS BRAINLIEST
Step-by-step explanation:
3 - 5n forms an A.P
First term = - 2
Common difference = - 5
Sequence : -2 , -7 , - 12, - 17, ...........
TO FIND:
If 3 - 5n forms an A.P
First term
Common difference
The sequence
EXPLANATION:
3 - 5n forms an A.P
When n = 1
The number will be 3 - 5(1) = 3 - 5 = - 2
when n = 2
The number will be 3 - 5(2) = 3 - 10 = - 7
when n = 3
The number will be 3 - 5(3) = 3 - 15 = - 12
We can notice the difference between the terms is - 5. Hence it forms an A.P.
First term:
When n = 1, it will be the first term.
a = 3 - 5(1) = 3 - 5 = - 2
Common difference:
d = t₂ - t₁
t₂ = 3 - 5(2) = 3 - 10 = - 7
t₁ = a = 3 - 5(1) = 3 - 5 = - 2
d = - 7 - (-2)
d = -7 + 2
d = - 5
The sequence:
-2 , -7 , - 12, - 17, - 22 ........
The sequence can be obtained by adding - 5 to the - 2 and to the number obtained as result (-7) and so on.
Read more on Brainly.in - https://brainly.in/question/20263563#readmore
Sorry For Lack Of Clarity in the Picture......
