consider the arithmetic sequence 100,93,86... what is the reminder obtained when each positive term of this sequence is divided by 7
Answers
Step-by-step explanation:
100/7=15 R=2
Therefore R=2
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Answer:
1) In the sequence above, each term is 9 more than the previous term. What is the 40th term of the sequence?
(A) 360
(B) 365
(C) 369
(D) 374
(E) 383
(
gpp-s_img12
Answer = (A).
9) Let’s think about the terms in this sequence:
5, 15, 25, 35, …., 485, 495
The first term is 5 and the last is 495. There are 100 multiples of 5 from 1 to 500, so there are 50 odd multiples and 50 even multiple. The sum is:
gpp-s_img13
Answer = (B).
10) This recursive sequence is probably more difficult than anything that the GMAT is going to throw you, but solving this problem is not too bad. As with any recursive sequence, we have to go term by term.
gpp-s_img14
Answer = (C).
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About Mike MᶜGarry
Mike creates expert lessons and practice questions to guide GMAT students to success. He has a BS in Physics and an MA in Religion, both from Harvard, and over 20 years of teaching experience specializing in math, science, and standardized exams. Mike likes smashing foosballs into orbit, and despite having no obvious cranial deficiency, he insists on rooting for the NY Mets.
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12 Responses to GMAT Practice Problems: Sequences
Ankur Chandra June 27, 2018 at 12:14 pm #
What level would you say these questions are? I was able to solve all 10 in 10 mins? Just curious
REPLY
Magoosh Test Prep Expert June 27, 2018 at 12:44 pm #
These are all intermediate-level questions… or at least, they’re of medium difficulty as sequence problems go. In general, students find sequence problems to be more difficult, and they’re a bit less common on the test… but still common enough to impact your score. So congratulations, Ankur. You are very skilled in a challenging-yet-important component of GMAT Quant.
REPLY
Meg August 24, 2016 at 12:00 pm #
I got 365 for the first one. shouldn’t it be 39 times 9 since n-1 is within the parentheses, not just (n) for the formula?
REPLY
Meg August 24, 2016 at 12:02 pm #
I just answered my own question. It’s looking for 41st term, not 40th….oops.
REPLY
Warren January 2, 2017 at 8:03 pm #
Was this ever resolved?
The question asks for the 41st term which I got as 383
The answer asks for the 40th term which is 374.
I just wanted to make sure 383 was correct.
REPLY
Magoosh Test Prep Expert January 3, 2017 at 5:57 am #
Hi Warren,
Thanks for pointing out this discrepancy. The 40th term is 374, the 41st term is 383. I have updated the post to be consistent, but I hope this clarifies what is going on, too!
REPLY
pushkar November 21, 2014 at 8:55 am #
Hi Mike, i got 613 as an answer for question no 4…and when i read explanation i knew the answer should be 605. but still i am confused how 5 comes ahead and how when it is divided by 8 remainder is 5 …confused ..can u elaborate!! pls mike!!
REPLY
Mike November 21, 2014 at 10:58 am #
Dear Pushkar,
I’m happy to respond. Think about it this way. Of course, I think you will agree that, when 13 is divided by 8, the quotient is 1 and the remainder is 5. Thank about what this means. Suppose I walk into a room with eight children, and I have 13 cookies in a bag. Of course, I can give one cookie to each child, and 5 will remain in the bag (of course, I dare not mention these extra cookies to the children!) I walk out of the room with 5 in the bag: that’s my literal remainder.
Now, think about 5 divided by 8. Suppose I walk into the same room full of eight children with only 5 cookies in my bag. Well, if I have any brains at all, I will not breathe a word of what’s in my bag to the children. Because I don’t have enough for every child, I am not going to give out any cookies. I walk out of the room with the same 5 cookies still in my bag — again, that’s the literal remainder.
When we divide the 5 by 8, the 8 simply won’t go into it at all, which is why the integer quotient is zero, but that still leaves us with the untouched 5 as our remainder. You may find this blog helpful:
https://magoosh.com/gmat/2012/gmat-quant-thoughts-on-remainders/
Mike
REPLY
brian January 13, 2015 at 10:50 pm #
Problem 4 says: “Let S be the set of all positive integers”. Is 0 a positive integer?
REPLY
Kevin Wandrei January 14, 2015 at 12:18 pm #
Hi Brian — Great question! Zero’s a weird number — it’s neither positive nor negative! It is an integer, however. Read more, here: https://magoosh.com/gmat/2013/gmat-number-properties/
Kevin
REPLY
Haritha July 7, 2016 at 8:37 pm #
Hi Mike,
As in the question they said when divided by 8 will leave a remainder 5. So simply i went by checking all the answer options which will be divisible by 8 and leaves a reminder 5. The only option which sa