can't find a pattern. can you help

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can't find a pattern. can you help

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Johnny R.,

Great observation!

You can use integer function to get a recursive form.

3, 9 , -1, -4, -15

t(1) = 3

t(n) = t(n-1) * [int(n/2)+2], if n is even.

t(n) = t(n-1) - [int(n/2)+9], if n is odd.

Check:

t(1) = 3

t(2) = 3*(1+2) = 9

t(3) = 9 - (1+9) = -1

t(4) = (-1)*(1+4) = -4

t(5) = (-4) - (2+9) = -15

t(6) = (-15)(3+2) = -75

t(7) = -75 - (3+9) = -87

t(8) = (-87)(4+2) = -522

......

The pattern that I see with this number sequence is alternating subtraction and multiplication. You perform the operations in alternating order. When you perform subtraction you increase the subtrahend by 1. When you perform multiplication you increase the multiplier by 1.

Here is the sequence

3 x **3** = **9**

9-**10** = **-1**

-1 x **4** = **-4 (multiplication, increasing multiplier by**
**1)**

-4 - **11** = **-15(subtraction, increasing subtrahend by 1)**

-15 x **5 **= -**75 (multiplication, increasing multiplier by 1)**

-75 - **12** =** -87(subtraction, increasing subtrahend by 1)**

-87 x** 6 = -522 (multiplication, increasing multiplier by 1)**

-522 - **13 = -535(subtraction, increasing subtrahend by 1)**

**Utilizing this pattern the next 4 numbers in the sequence would be -3745,-3759,-30072,-30087**

**Therefore the sequence would be:**

**3, 9. -1, -4,-15,-75, -87, -522, -535, -3745, -3759, -30072, -30087**

** **

** **

**
**-

This is tough. It increases once, then decreases 3 times. Can you double check to make sure these are typed in the correct order? Also, it might be helpful if you provided the name of your class, and the names of the chapter/section you guys are on, when
this problem was given to you.

I'll keep working on this in in the meantime.

- Precalculus 102
- Series 2
- GEOMETRIC PROGRESSION 3
- Algebra 903
- Math 1332
- Word Problem 401
- Triangles 26
- Function Rules 6
- Pattern 4
- Geometric Sequence 3

## Comments

Hi Jonny.

This makes sense except for the fact that the multiplier should be "6" for this line as "5" has already been used:

-87 x

5 = -522 (multiplication, increasing multiplier by 1)should be

-87 X 6 = -522Thus the remainder of the problem needs to be adjusted.

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