Math Help <span title="Please!!!!!!!!!!!!!!!!!!!!!!!!!?">Please!!!!!!!!!!!!!!!!!!!...</span>

Question

ok i need the answers to these 4 problems please.

1. 2, 6, 15, 31, 56, 92 _____ what comes next

2. 1, 1, 2, 3, 5, 8, 13 _____ what comes next

3. 1, 6, 16, 41, 61, 86 _____ what comes next

4. 3, -12, 48, -192, 768 ______ what comes next

thanks again!

Answer 1

1. This one is hard to explain in words:

   Add 4, then 9, then 16, then 25, then 36.

   Intervals are 5, 7, 9, 11, next is 13.  36 + 13 = 49.

   So, 92 + 49 = 141.

2. Add the last answer to the current number to get the next number.

   So, 13 + 8 = 21

3. Add 5, then 10, then 15, then 20, then 25, then 30.

   So, 86 + 30 = 116

4. Multiply each answer by -4 to get the next number.  

    So, 768 * -4 = -3072

Answer 2

1)  141

2)    21

3)   116

4)  -3072

Answer 3

1) Its rule :T1=1, Tn+1 = Tn + n^2 so the next term = 92 + 49 = 141

2) Its rule T1=1, T2=1, Tn+2 = Tn + Tn-1  so the next term = 8+13=21

3)Its rule T1=1, Tn+1 = Tn + 5n  so the next term = 86+30=116

4) Tn = 3.(-4)^(n-1)  so the next term = 3 *(-4)^5 = - 3072