Question

Find the 45th term of the folloing series 100-9,90-18,80-27-----

Answer 1

hope that it will help you

Answer 2

Answer:

45th term of AP = -745

Step-by-step explanation:

Given number series is 100-9, 90-18, 80-27 ...

given series can be written as  91, 72, 53 ...   which is in AP

Here first term a = 91  

common difference  d = T₂ - T₁ = 72 - 91 = -19

Here we need to find 45th term of the following series        

As we know that nth term of a, AP = T$_{n}$  = a + (n-1)d  

         Therefore, 45th term of AP = T₄₅  = 91 + (45-1)(-19)

                                                                 = 91 + (44) (-19)

                                                                 = 91 - 836 = - 745