1.)given the recursive definition latex: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that latex: a_1=1a 1 = 1, find latex: a_{10}a 10

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2.)given the explicit definition: latex: t_n=n^2-2nt n = n 2 − 2 n, find latex: t_4

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

and

Then,  the next table can be computed (only the first terms are explicitely shown)

n      

1       1

2       3

3      7

4      15

5      31

6      63

7      127

8      255

9      511

10     1023

2)

Given

Then,  the next table can be computed

n      

1       -1

2      0

3      3

4      8

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

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step-by-step explanation: