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Q: What is the nth term of 2 9 16 23 30?

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90

Just plug in 30 for n in 3n-1. The answer is 89.

Say if you had the pattern 15 20 25 30 35 40 45 50 To find the nth term you have to see what the gap between the numbers is. In our case this is 5. Then you have to find out what the difference between the gap and the first number. In this sequence it is 10. So your answer would be..... 5n+10 That's how you find the nth term.

> since the value rises by nine at each step and the first term is 12 the formula for > the nth term is: 12+(n-1)*9 Which simplifies to Sn = 9n + 3

32, 60, 88, 116, 144

Related questions

The sequence is 2 larger than the 7 times table. The nth term can be expressed as 7n + 2.

96

6n+10

9 ,16 ,23, 30 We note that there is a difference of '7' between terms. So the first part of the 'nth' term is 7n. Note the '7' becomes multiple. Next we need to find the constant 'c' So taking the first term (n = 1) we write. 7n + c = 9 7(1) + c = 9 7 + c = 9 c = 2 So the 'nth' term is '7n + 2' To verify , try the 3rd term n= 3 then answer should be '23'. 7(3) + 2 = 21 + 2 = 23 As required.

t(n) = 5 - 7n for n = 1, 2, 3, ... The difference between each term is -7, therefore the nth term will be: t(n) = -2 + -7 × (n - 1) = -2 + 7n + 7 = 5 - 7n

90

Clearly here the nth term isn't n25.

When n=30, 3n-1 = 89 .

30

Just plug in 30 for n in 3n-1. The answer is 89.

3 x 10(n-1)

n(n+1)

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