ln The formula tn = a+(n+1)d what do a and d denote???
Answers
Explanation:
a denotes first term of an AP
D denotes Common Difference
also D=a2-a
Answer:
tn denotes nth term of an arithmetic progression, ‘a’ denotes first term of A.P and ‘d’ denotes common difference of arithmetic progression.
Explanation:
Arithmetic Progression
A progression with a constant tolerance between two consecutive numbers is called an Arithmetic Progression (A.P.). A.P. Examples 3, 6, 9, 12, 15, 18, 21, …
The characteristic feature of arithmetic progression is a common difference (D)
say the first term is "A"
second term is A+D
third term is A+2D
and so on
we now observe that for the Nth term
(TN),((N-1)×D) is added to A
thus, we get the formula TN= A+(N-1)D
eg1:
12, 15, 18.......
find the 50th term
TN= A+(N-1)D
D= +3, A=12
therefore, 12+((50-1)×3)= 153
eg2:
100,94,88.......
find the number of terms if the nth term is -44
TN= A+(N-1)D
D=-6, A=100
N= ((-44-100)/-6)+1
=25
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