Question

please help with all 3 questions thank you

Answer 1

Answer:

see below

Step-by-step 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