study the pattern and give the next number in each sequence. Then write the rule in finding the nth term on the space provided
1.) 3, 6, 9, 12,___-rule:_____
2.) 1, 4, 9, 16,___-rule:_____
3.) 1/2, 1/3, 1/4, 1/5,___-rule:____
4.) 1, 2, 4, 7, 11, 16, 22,___-rule:____
5.) 3, 1, -1, -3,___-rule:____
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1. 15
Rule: 3n
2. 25
Rule: n^2
3. 1/6
Rule: 1/(n+1)
4. 29
Rule: 2^(n-1)
5. -5
Rule: -2n+5
Answer:
1. 15 - RULE :
2. 25 - RULE :
3. - RULE :
4. 29 - RULE :
5. -5 - RULE :
Step-by-step explanation:
If you want me to explain just comment. So I can edit. Thanks.
= the nᵗʰ term in the sequence
= the first term in the sequence
= the common difference between terms
= the common ratio between terms
1.
3, 6, 9, 12, __ (Apply the rule)
2.
1, 4, 9, 16,__ (Apply the rule)
3.
1, 1/2, 1/3, 1/4, 1/5, __ (Apply the rule)
4.
1, 2, 4, 7, 11, 16, 22,__ (Apply the rule)
5.
3, 1, -1, -3,__ (Apply the rule)