Question

Please help with all 3 questions thank you

Answer 1

see below

Explanation:

This is a geometric sequence

The first term is 1

We are multiplying by 2, so the common ratio is 2

Each term is found by

an = 1 (2)^ (n-2)

The sum is found by

Sn = a1 (1-r^n)

----------

1-r

We want the sum of pennies in row 1, which is 8 terms

S8 = 1 (1-2^8) 1 -256

----------- = ---------- = 255

1-2 -1

Pennies in rows 1-4

4 rows with 8 spots is 32

S32 = 1 (1-2^32)

----------- =4294967295 pennies

1-2

Pennies in rows 1-4

8 rows with 8 spots is 64

S64 = 1 (1-2^64)

----------- =1.844674407*10^19 pennies

1-2