AI generatedAlgebraGCSE Higher

Geometric sequences involving surds

Multiply by the stated surd ratio.

  • Check whether the change is additive, multiplicative or based on the previous two terms.
  • A term-to-term rule moves between terms. A position-to-term rule uses the term number .
  • Check a proposed rule against at least the first two given terms.

Example 1

Find the common ratio and the next term.

Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.

Example 2

Find the common ratio and the next term.

Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.

Your turn

Question 1

Find the common ratio and the next term.

Check answer
Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.
Question 2

Find the common ratio and the next term.

Check answer
Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.
Question 3

Find the common ratio and the next term.

Check answer
Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.
Question 4

Find the common ratio and the next term.

Check answer
Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.
Question 5

Find the common ratio and the next term.

Check answer
Divide a term by the previous term.Use multiplication, not a constant difference.
Next termMultiply the last term by the same ratio and simplify.
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