Question

The first 3 terms of a sequence are given. Round to the nearest thousandth (if necessary) 460,451,442 find the 49th term

Answer 1

Answer:

The  49th term of the given sequence

t₄₉ = 28

Step-by-step explanation:

Step(i):-

Given sequence  460, 451,442,....

first term  a = 460

The difference of two terms of given sequence

 d = 451 -460 = -9

 d   = 442 -451 = -9

and so on

The given sequence is in arthematic progression(A.P)

Step(ii):-

The $n^{th}$ of the given sequence

$t_{n} = a + ( n-1 ) d$

n = 49 , a = 460 and d = -9

The  49th term

$t_{49} = 460 + ( 49-1 ) (-9)$

$t_{49} = 460 + ( 49-1 ) (-9) = 460 -432 = 28$

Final answer:-

The  49th term of the given sequence

t₄₉ = 28