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Find the 60th term of the following sequence.
8, 16, 24. ...

Sagot :

jcherry99

Answer:

Step-by-step explanation:

Remark

You want the 60th term of the arithmetic (?) sequence given.

Formula

L = a + (n - 1)*d

Givens

L = ?

a =  8

d = 8

n = 60

Solution

L = 8 + (60 - 1)*8

L = 8 + 60*8 - 8

L = 480

Answer

The 60th term is 480

Answer:

Step by step explanation :

As we know

[tex]\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}[/tex]

where,

an = the nth term in the sequence

n = the term

d = common difference

a = first term of the AP.

Here,

an = a60

n = 60

d = 16 - 8 = 8

a = 8

Now,

[tex]\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}[/tex]

=> [tex]\:\mathsf{a60\:=\:8\:+\:(59)(8)}[/tex]

=> [tex]\:\mathsf{a60\:=\:8\:+\:472}[/tex]

=> [tex]\:\bf{a60\:=\:480}[/tex]

Therefore the 60th term of the AP is 480.

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