The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Let x be the second number in the Fibonacci sequence.
Then we have the sequence is as follows:
1st: 1
2nd: x
3rd: 1 + x
4th: 1 + 2x
5th: 2 + 3x
6th: 3 + 5x
7th: 5 + 8x
8th: 8 + 13x
9th: 13 + 21x
10th: 21 + 34x
so 111 = 21 + 34x, so 34x = 90, so x = 90/34 = 45/17.
Thus the second term would be 45/17. (if I haven’t made any errors in arithmetic).
A i hope it helps each trial must have all outcomes classified into two categories
