0
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Judy
CoachAdd your answer:
Earn +20 pts
How do you find the 100th term of the sequence?
a + 99d where 'a' is the first term of the sequence and 'd' is the common difference.
What is the 100th Fibonacci number?
The 100th Fibonacci number is 354,224,848,179,261,915,075.
What is the 100th odd number?
199
What is the 100th term of 4 8 12 16?
To find the 100th term of the sequence 4, 8, 12, 16, we can observe that each term is increasing by 4. This is an arithmetic sequence with a common difference of 4. The formula to find the nth term of an arithmetic sequence is given by: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Substituting the values into the formula, we get (a_{100} = 4 + (100-1) \times 4 = 4 + 99 \times 4 = 4 + 396 = 400). Therefore, the 100th term of the sequence is 400.
What is the one hundredth term in the sequence 1 3 6 10 15 21 28?
The sequence given is an arithmetic sequence where each term is the sum of the previous term and a constant difference. The constant difference in this sequence is increasing by 1 each time, starting with 2. To find the 100th term, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the nth term, ( a_1 ) is the first term, ( n ) is the term number, and ( d ) is the common difference. Plugging in the values, we get ( a_{100} = 1 + (100-1)2 = 1 + 99*2 = 1 + 198 = 199 ). Therefore, the 100th term in the sequence is 199.
