Among a banks 214 customers with checking or savingsaccounts, 189 have checking accounts, 73 have regular savingsaccounts, 114 have money market savings accounts, and 69 have bothchecking and regular savings accounts. No customer is allowed tohave both savings and money market savings accounts.
a.) How many customers have both checking and money marketsavings accounts?
b.) How many customers have a checking account but no savingsaccount?

a) 93 customers

b) 27 customers

Step-by-step explanation:

Total number of customers (n) = 214

Checking (C) = 189

Regular Savings (R) = 73

Market Savings (M) = 114

Checking and Regular (C&R) = 69

a) The total number of customers is given by:

93 customers have both checking and money market savings accounts

b) The number of customers with savings accounts is given by:

27 customers have a checking account but no savings account.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for