Question

find the nth term in the sequence 4,5,8,13,20

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Answer 1

Answer:

Step-by-step explanation:

Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by  An=a1+[n-`1]d

The geometric sequence formula goes by  

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5

5+ 3 = 8

8 + 5 = 13

13 + 7 = 20

20 + 9 = 29

29 + 11 = 41

41 + 13 = 54

54 + 15 = 69  

69 + 17 = 83

Your formula is  

Where n starts at 2 not 1

Answer 2

Answer:

The nth term in the sequence is $A_{n}$= $(n-1)^{2}$ +4

Step-by-step explanation:

To find the general term of the given series we have to observe the sequence carefully and find the solution by use of A.P, G.P , H.P or by hit or trial method.

Here, we use the hit and trial method by squaring and adding something in the general term.

$A_{1}$ = $(1-1)^{2}$ +4 = 4

$A_{2}$= $(2-1)^{2}$ +4 = 5

$A_{3}$= $(3-1)^{2}$ +4 = 8

$A_{4}$= $(4-1)^{2}$ +4 = 13

$A_{5}$= $(5-1)^{2}$ +4 = 20.

similarly, following the pattern of the sequence,

$A_{n}$= $(n-1)^{2}$ +4 will be the nth term.

#SPJ3

26 MAY 2022