# 1)A sequence is defined by Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2.

• night_stroller
In summary, a sequence is a list of numbers or objects that follow a specific pattern or rule. The rule for this sequence is Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2. T1 and T2 represent the first and second terms in the sequence, and to find the third term, T3, we substitute n=3 into the rule: T3= T3-2/T3-1 = T1/T2 = 20/2 = 10. If n is less than 3, the rule does not apply and the sequence cannot be continued.
night_stroller
1)A sequence is defined by Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2. find the 4th term.

2) The general term of a sequence is Tn=2^n-2. Find n if Tn=1/128.

Last edited:
well, for the first one it is quite easy

what is the 3rd term.

T3=T1/T2, right? so the 4rth term would be T4=T2/T3, right?

2) well all you need to do here is set 1/128=2^n-2 and solve for n? do you know how to do it?

## 1. What is a sequence?

A sequence is a list of numbers or objects that follow a specific pattern or rule.

## 2. What is the rule for this sequence?

The rule for this sequence is Tn= Tn-2/Tn-1 for n>=3 with T1=20 and T2=2.

## 3. What does T1 and T2 represent in this sequence?

T1 and T2 represent the first and second terms in the sequence, respectively.

## 4. How do you find the third term in this sequence?

To find the third term, T3, we substitute n=3 into the rule: T3= T3-2/T3-1 = T1/T2 = 20/2 = 10.

## 5. What happens if n is less than 3 in this sequence?

If n is less than 3, the rule does not apply and the sequence cannot be continued.

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