Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117
Answer:
1c 2b
Step-by-step explanation:
Net worth is the difference between assets and liabilities.
Assets - liabilities = net worth
Assets include
townhome valued at $ 195,000
savings 5000
Car 38000
Total=195,000+5,000+38,000
=238,000
Liabilities include
Loan owed 120000
Credit card 1400
owed on Ben's car 20000
Total=120,000+1,400+20,000
=141,400
Net worth=238,000−141,400=96,600
K=4 <span>1/2k+6=4k–812k+6=4k–8</span>
