# 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...?