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zhannawk [14.2K]
3 years ago
10

Answer please!!!!!!!!!

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

Third term is 67.

Step-by-step explanation:

Let the first term of the sequence be x.

Given:

The second term is 5 more than the first term.

Second term = x+5

Third term = First term + Second term = x+x+5=2x+5

Fourth term = Second term + Third term = x+5+2x+5=3x+10

Sum of first 4 terms is 237. Therefore,

x+(x+5)+(2x+5)+(3x+10)=237\\(x+x+2x+3x) + (5+5+10)=237.........(\textrm{Commutative property of addition})\\7x+20=237\\7x=237-20\\7x=217\\x=\frac{217}{7}=31

Now, the third term of the sequence is given as:

\textrm{Third term}=2x+5=2(31)+5=62+5=67

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