English, asked by guptavishal87297, 9 months ago

ln The formula tn = a+(n+1)d what do a and d denote???​

Answers

Answered by nishank2020
55

Explanation:

a denotes first term of an AP

D denotes Common Difference

also D=a2-a

Answered by Rameshjangid
2

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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