2,5,8,11,14 write down in terms of n , an expression for the nth term for this sequence
1 answer:
Answer:
= 3n - 1
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3, thus
= 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1
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Answer:
The Amount invested at 7% interest is $12,855
The Amount invested at 6% interest = $1,102
Step-by-step explanation:
Given as :
The Total money invested = $13,957
Let The money invested at 7% = = $A
And The money invested at 6% = = $13957 - $A
Let The interest earn at 7% =
And The interest earn at 6% =
-
= $833.73
Let The time period = 1 year
Now,<u> From Simple Interest method</u>
Simple Interest =
Or, =
Or, =
And
=
Or, =
∵ -
= $833.73
So, -
= $833.73
Or, 7 A - 6 (13,957 - A) = $833.73 × 100
Or, 7 A - $83,742 + 6 A = $83373
Or, 13 A = $83373 + $83742
Or, 13 A = $167,115
∴ A =
i.e A = $12,855
So, The Amount invested at 7% interest = A = $12,855
And The Amount invested at 6% interest = ($13,957 - A) = $13,957 - $12,855
I.e The Amount invested at 6% interest = $1,102
Hence,The Amount invested at 7% interest is $12,855
And The Amount invested at 6% interest = $1,102 . Answer