I NEED HELP QUICKLY!! Find the sum of the first 42 terms of the sequences (12, 16, 20, ....)
1 answer:
Answer:
B
Step-by-step explanation:
Note the common difference between consecutive terms of the sequence.
d = 16 - 12 = 20 - 16 = 4
This indicates the sequence is arithmetic with sum to n terms
=
[2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 4, thus
=
[ (2 × 12) + (41 × 4) ]
= 21( 24 + 164) = 21 × 188 = 3948 → B
You might be interested in
Given:
- The principal amount that Amy opened her savings account with is $1750.
- The rate of simple interest compounded annually is 4.3%.
- The time period for which we calculate the new balance is 6 months.
To Find:
The balance after 6 months.
Answer:
The balance after 6 months will be $1787.625
Step-by-step explanation:
The principal amount that Amy opened her savings account with is $1750. We can denote this by P.
The rate of simple interest compounded annually is 4.3% which we may denote by R.
The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).
The amount of money accrued from the interest can be calculated by the formula
Putting in the values given in the question, we have
The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.
Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.