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Viefleur [7K]
3 years ago
7

Which term of the sequence 2,5,8,11... is 128?​

Mathematics
1 answer:
Alex73 [517]2 years ago
3 0

Answer:

Given sequence is 2,5,8,11,.....

Here t

1

=2,t

=5,t

=8,t

=11

2

=2+1×3=5

=2+2×3=8

4

=2+3×3=11

Clearly it is an AP with first term a=2 and common difference d=3

t

n

=a+(n−1)d

∴t

5

=2+4×3=14

Hence, the answer is 14.

Step-by-step explanation:

<h2>please mark me as brainlist</h2>
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Evaluate log 2 base 8​
iren2701 [21]

Answer:  The correct answer is:  " 3 " .

_______________________________

Step-by-step explanation:

_______________________________

The problem given is:

_______________________________

Evaluate:  log 2 base 8 .

_______________________________

Rewrite as:  " log_2}8 = ? _______________  " ;  log_2}8 = ? _______________

_______________________

Take note of the following definition of a logarithm:

_______________________

"   log_{m}n = a " ;  ↔  " m^{a} =n  "  ;

_______________________

in which:  m  refers to the "base" ;

               n  refers to the "argument" ;

               a  refers to the "exponent" ;

______________________________

As such:

       " log_2}8 = ? _______________ "

      ⇔ " 2^{x} = 8 " ; Solve for "x" ;  

 _______________

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  2⁰ = 1 ;

  2¹ = 2 ;

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___________________

 → " 2^{x} = 8 " ;

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 → as such:   " x = 3  " ;

______________________

Thus:

"log 2 base 8 " ;

          = log{_{2}}8 = 3  .

_______________________

Hope this helps!

Best wishes to you!

3 0
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