arithmetic

1. Arithmetic Numerical Reasoning SHL/CEB Practice Test

Hi all, doing a bunch of cognitive tests for grad positions and some involve Numerical reasoning assessments. Before i attempt the full test i am trying a bunch of practice ones however i am unable to solve some of the questions. I am unsure why my math is incorrect or how to even tackle some of...
2. Help with arithmetic sequence

In an arithmetic sequence, the seventh term is 3 and the sixteenth term is 9. use arithmetic means to determine the common difference and the first term of the sequence Thanks for the help!

5. Prove that large number is a multiple of 7 using modular arithmetic

How can you show that 3^54321 - 6 is a multiple of 7? I know you would use modular arithmetic (and maybe the Euclidean algorithm?), but I don't know how to go about doing that. Any help would be greatly appreciated!
6. Arithmetic Progression Problem

Hellp everyone. My name is Zaker. I'm new here so I don't know where to post the problem. So I'm posting it here. My problem is with arithmetic progression. The question is number 2d in the attachment. I solved a to c. But stuck with d. So please someone help me with this. Thanks in advance
7. Ordinal arithmetic

Solve (w^k+n)^w where k € w\{0} and n € w. I managed to show that w^w <= (w^k+n)^w < w^(w^2).
8. Arithmetic Sequence

2nd term is 5, 5th term is 14, find the 15th term. a= unknown d= unknown a_n= a+(15-1)d a_n=a+14d Where do I go from here?
9. Arithmetic and Geometric Sequences.

Hi, I just did these problems for my final review. Does anyone mind checking them? Tyvm. 1) Find the 98th term of an arithmetic sequence whose first three terms are 2,6,10 Ans: 390 2)Write the 21st term in arithmetic sequence with a first term of 7, and a common difference of 5. Ans: 107 3)...
10. Arithmetic Progression

If 5 AMs are inserted between 3 and 13/2, then find the third AM. How will I solve it? It seems to be quite easy but I can't solve it.
11. Understanding Arithmetic and Geometric series, help?

Below are a few examples i pulled from by book, i was wondering if i could get some help with so i can have a better understanding on how to solve the rest. 8+3-2-7-12-....-87 1a) What Kind of series is this? Arithmetic, Geometric, or Neither? Why? 1b) Use the appropriate formula to find...
12. Arithmetic Progression

The question says- The sum of n terms of 2 APs are in the ratio 5n+4 : 9n+4. Find the ratio of the 17th term.
13. Arithmetic uncertainty

Hello everyone I need a little help with some number working, assuming following sequence \{ a_{n} \}_{n=1}^{\infty} satisfy: |a_{n+1}| \leq \frac{1}{2} |a_{n}| I am then to show the following: |a_{n+1}| \leq \left( \frac{1}{2} \right)^{n-1} |a_{1}| \text{ } \forall n \in \mathbb{N} But...
14. Arithmetic Series Word Problem (Analysis)

Hi, I'm not sure if this is the right section for this question, so if not please redirect me to the correct subforum. :) Q: There are k animal feeding stations arranged in a line with a supply hut. The stations are s yards apart and the nearest is t yards from the hut. An attendant carries n...
15. Arithmetic Sequence

I learned a few formulae studying arithmetic sequences: Sn=n/2(t1+tn) Sn=n/2(t1+(n-1)d) But for some questions, I did not have Tn. So, I made some tables and found a useful formula for determining tn when that information was missing: tn=t1d+n-d I just want to know if it is a known formula...
16. Arithmetic Sequence with two variables

This is the question: Given the sequence a+b, 2a-b, 3a-3b,_,_,_,_,8a-13b, insert four arithmetic sequence. I can do it if it only has one variable, but our teacher hasn't taught us this. Please help Thanks in advance
17. Finding a large term in an arithmetic sequence

A problem asks to find the 204th term of an arithmetic sequence with fourth term 8 and sixth term 36. The answer given is: 808 However, I'm not clear how that is determined. I though the equation to determine a term was an = a1 + (n-1)*d
18. Arithmetic Sequence. Finding a1 and d

This is one of the given numbers in my book: a1 = x, d = 1/2x, a14 = 30 I can easily do this one: a1 = x, d = 3x, a9 = 25 Since there are no fractions. But once there are fractions, I seriously can't find the answer anymore. Please help. Thank you in advance (Talking)(Talking)
19. Arithmetic Mean of a and b

Show that the arithmetic mean of a and b is equidistant from a and b.
20. Arithmetic Progression

The first term of an a.p is -8, the ratio of the 7th term to the 9th term is 5:8. what is the common difference of the progression? I've tried... it confuses me. Can anyone give me some hints or tips...?