Math Problem Statement

The expression for the nth term of a sequence is 5n. Work out the 11th term of this sequence.

Solution

The expression for the nthn^{th} term of the sequence is given as 5n5n.

To find the 11th11^{th} term, substitute n=11n = 11 into the formula:

T11=5×11=55T_{11} = 5 \times 11 = 55

So, the 11th term of the sequence is 55.

Would you like further details or have any questions?

Here are some related questions you might find helpful:

  1. What is the 20th term of this sequence?
  2. How do you derive the general formula for an arithmetic sequence?
  3. What is the common difference in this arithmetic sequence?
  4. How can you find the sum of the first nn terms of this sequence?
  5. How would the formula change if the common difference was 7 instead of 5?

Tip: For linear sequences, the formula for the nth term is often of the form an+ban + b, where aa is the common difference.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Algebra

Formulas

nth term of the sequence: 5n

Theorems

Arithmetic sequence formula

Suitable Grade Level

Grades 6-8