Understanding Linear Sequences and the nth Term

What is a key characteristic of a linear sequence?

• The gap between numbers is consistent.

• The numbers form a circle when plotted.

• The numbers increase by different amounts.

• The sequence ends after five terms.

How can you determine the next number in a linear sequence?

• By dividing the last number by the jump value.

• By multiplying the last number by two.

• By adding the jump value to the last number.

• By subtracting the previous number.

What is the first step in finding the nth term of a sequence?

• Finding the correction factor.

• Calculating the sum of all terms.

• Identifying the jump value.

• Plotting the sequence on a graph.

In the formula 3n - 1, what does the '3' represent?

• The position of the term.

• The total number of terms.

• The correction factor.

• The jump value.

How do you find the correction factor in a sequence?

• By adding the jump value to the nth term.

• By multiplying the nth term by the jump value.

• By dividing the nth term by the jump value.

• By subtracting the calculated term from the actual term.

What is the formula for a sequence with a jump value of 10 and a correction of -8?

• 10n + 8

• 10n - 8

• n - 10

• 8n - 10

When dealing with negative jumps, what is crucial to remember?

• The jump value should be positive.

• The correction factor is always zero.

• The formula starts with a negative jump value.

• The sequence cannot be calculated.

In a sequence with a jump value of -5, what would the formula look like if the correction is +16?

• -5n + 16

• -5n - 16

• 5n + 16

• 5n - 16

What happens when you multiply a negative jump value by a term?

• The result is always positive.

• The result is always zero.

• The result is negative.

• The result is the same as the term.

What should you do after writing the formula for a sequence?

• Add the formula to the sequence.

• Divide the formula by the correction factor.

• Multiply the formula by the jump value.

• Check the formula with known terms.