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If sequences S has 240 terms, what is the 239th term of S? 1) Each term of S after the first term is 4 less than the

Expert replies
by BTGmoderatorDC » Tue Feb 08, 2022 4:37 pm

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A

B

C

D

E

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Difficulty—

If sequences S has 240 terms, what is the 239th term of S?

1) Each term of S after the first term is 4 less than the preceding term
2) The 239th term of S is 952 less than the first term


OA E

Source: GMAT Prep
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Source: — Data Sufficiency |

BTGmoderatorDC wrote: ↑
Tue Feb 08, 2022 4:37 pm
If sequences S has 240 terms, what is the 239th term of S?

1) Each term of S after the first term is 4 less than the preceding term
2) The 239th term of S is 952 less than the first term


OA E

Source: GMAT Prep
IMPORTANT: Statement 2 can be directly inferred from statement 1.
That is, if each term is 4 less than the previous term (e.g., 19, 15, 11, etc) then we can conclude that term2 will be 4 less than term1.
We can also conclude that term3 will be 8 less than term1, and:
term4 will be 12 less than term1.
term5 will be 16 less than term1.
.
.
.
term239 will be 952 less than term1 (same as statement 2).

So, as you can see, statement 2 DOES NOT PROVIDE ANY EXTRA INFORMATION beyond the information that statement 1 provided.

So, if statement 1 is NOT SUFFICIENT (which is clearly the case), then statement 2 cannot be NOT SUFFICIENT.
More importantly, the statements combined are NOT SUFFICIENT.

Answer: E
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