3 years ago

Plz help me with #23 and #41

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

23) 17/30

41) 3/10 because 3/10 + 7/10 = 10/10 or 1.

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

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Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

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Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

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$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

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