GCSE Secondary Maths Age 13-17 - Algebra: Iterative Formula - Explained

The video tutorial explains how to calculate the number of slugs in a garden over three days using an iterative formula. Starting with an initial population of 100 slugs, the formula P(T+1) = 1.06 * P(T) is applied iteratively to find the population on subsequent days. The tutorial walks through the calculations for each day, discusses acceptable answers, and highlights the marking scheme. It concludes with an explanation of the iterative formula concept, emphasizing its importance in solving the problem.

What is the initial number of slugs in the garden?

• 50

• 150

• 200

• 100

What is the formula used to calculate the number of slugs on the next day?

• P(T+1) = 1.5 * P(T)

• P(T+1) = 1.06 * P(T)

• P(T+1) = 0.5 * P(T)

• P(T+1) = 2 * P(T)

How many slugs are there on the second day?

• 100

• 119.1016

• 112.36

• 106

What is the slug count on the third day according to the calculation?

• 106

• 125

• 119.1016

• 112.36

What is the term used to describe the formula used in this problem?

• Exponential formula

• Iterative formula

• Quadratic formula

• Linear formula