Question #299853

A. Write the missing term/s in the given series of numbers.

1. Find the next three terms in: 14, 10, 6, 2, ? , ? , ? .

2. Find the

th 35

term in the arithmetic sequence


3, 9, 15, 21, ? .


3. Find the next two terms in the sequence:


5, 2, 8, 3, 11, 4, 14, 5, 17, 6, ? , ? .


4. Find the next number:


2, 3, 4, 6, 6, 9, 8, ? .


5. What should become in place of x in the following series:


2, 2, 4, 12, 48, 240, x?


6. Identify the next number in the following series


2, 8, 26, 62, 122, 212, ? .


7. What is the next number in the pattern


4, 12, 36, 108, ? .


1
Expert's answer
2022-02-21T17:10:40-0500

A.

1. 14,10,6,2,2,4,8,-14, -10, -6, -2, \textcolor{blue}{2,4,8},


2. a1=3,d=93=6a_1=3, d=9-3=6


a35=a1+d(351)=3+6(351)=207a_{35}=a_1+d(35-1)=3+6(35-1)=207



3.

Consider two sequences


5,8,11,14,17,20,23,...5,8,11,14,17,20,23,...

2,3,4,5,6,7,8,...2,3,4,5,6,7,8,...

Hence we have the sequence


5,2,8,3,11,4,14,5,17,6,20,7,...5, 2,8, 3, 11, 4,14, 5,17,6, \textcolor{blue}{20,7},...

4.

Consider two sequences


2,4,6,8,10,...2,4,6,8,10,...

3,6,9,12,...3,6,9,12,...

Hence we have the sequence


2,3,4,6,6,9,8,12,...2, 3,4,6, 6, 9, 8, \textcolor{blue}{12},...


5.

We see


21=2,22=4,43=12,124=48,2\cdot 1=2, 2\cdot 2=4, 4\cdot 3=12, 12\cdot 4=48,

485=240,2406=144048\cdot 5=240, 240\cdot 6=1440

Hence x=1440x=1440


6.

2       8       26       62       122       212        3382\ \ \ \ \ \ \ 8\ \ \ \ \ \ \ 26\ \ \ \ \ \ \ 62\ \ \ \ \ \ \ 122\ \ \ \ \ \ \ 212\ \ \ \ \ \ \ \ 338\\

6        18        36        60        90        126    6\ \ \ \ \ \ \ \ 18\ \ \ \ \ \ \ \ 36\ \ \ \ \ \ \ \ 60 \ \ \ \ \ \ \ \ 90 \ \ \ \ \ \ \ \ 126\ \ \ \ \\


12        18        24        30        36     12\ \ \ \ \ \ \ \ 18 \ \ \ \ \ \ \ \ 24\ \ \ \ \ \ \ \ 30\ \ \ \ \ \ \ \ 36\ \ \ \ \ \\

6          6          6          6     6 \ \ \ \ \ \ \ \ \ \ 6\ \ \ \ \ \ \ \ \ \ 6\ \ \ \ \ \ \ \ \ \ 6\ \ \ \ \ \\ \\

Hence we have the sequence


2,8,26,62,122,212,338,...2,8, 26, 62, 122, 212, \textcolor{blue}{338},...



7.


4×3=12,12×3=36,36×3=108,4\times 3=12, 12\times 3=36, 36\times 3=108,

108×3=324108\times 3=324

Hence we have the sequence


4,12,36,108,324,...4,12, 36, 108, \textcolor{blue}{324},...




Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS