Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

Negative Dice

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Strange Bank Account (part 2)

Stage: 3 Challenge Level:
Here is a table showing some ways of obtaining a £5 increase:

 Deposits $(+£2)$ Withdrawals $(-£3)$ Calculation Outcome ... ... ... ... $4$ $1$ $4 \times (+£2) + 1 \times (-£3)$ $+£5$ $7$ $3$ $7 \times (+£2) + 3 \times (-£3)$ $+£5$ $10$ $5$ $10 \times (+£2) + 5 \times (-£3)$ $+£5$ ... ... ... ...

Can you continue the table in each direction?