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fomenos
2 years ago
13

Please help with this

Mathematics
1 answer:
lara [203]2 years ago
3 0

Answer:

  17

Step-by-step explanation:

For the second term in the sequence, use n=2. The formula tells you ...

  b(2)=b(2-1)+1\\\\b(2)=b(1)+1\\\\b(2)=16+1\\\\\boxed{b(2)=17}

The second term of the sequence is 17.

_____

<em>Additional comment</em>

The recursive relation is telling you that each term of the sequence is 1 more than the term before, and the first term is 16. This means the first several terms of the sequence are ...

  16, 17, 18, 19, ...

The second term is 17.

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22. Solve 7x - 9 = 28+ 4(x - 1).<br> X=-3<br> X=3<br> x = 11<br> X=-11​
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Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

<u><em>Steps:</em></u>

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

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