Mathematics: Chris just a bought. New laptop he uses the formula k=550 times 0.85? How much did he pay (£k) his laptop will be n years compound decay

Chris just a bought. New laptop he uses the formula

lizzieee04

05.11.2021

a) The sequence is 22 , 28 , 34, 40 ,46 , …..

$a_{n} = 6n +16$

b) The 14 term of the sequence has 100 seats

Step-by-step explanation:

In an auditorium, there are 22 seats in the first row and 28 seats in the second row,...

The sequence is 22 , 28 , 34, 40 ,46 , …..

we observe that the difference between 28 and 22 is '6'

between 34 and 28 is '6'

between 40 and 34 is '6' and so on

The given sequence is arithmetic progression

Here d = 6 , a= 22

The 'n' th term of the sequence $a_{n} = a +(n-1) d$

$a_{n} = 22 +(n-1) 6$

$a_{n} = 22 +6n-6 = 6n +16$

b) Given $a_{n} = 100 seats$ and find n =?

100 = a +(n-1) d

22 + (n-1)6 = 100

6n-6 = 100-22

6n = 78 +6 =84

n = 14

The 14 t h row has 100 seats

Verification:-

substitute n = 14 , a=22 and d=6

$a_{n} = 22 +(14-1) 6 = 100 seats$

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