Find the tenth term of the sequence: -6,1,8...
Is it 57?
For the sequence:2,4,8,16 the value of s4 is____.
Is it 8?
Find the 7th term of the sequence: 1,2,4,...
Is it 64?
Which term of this sequence is 275?
5,10,15,...
Is it 1357?
Find the 7thterm of an. Arithmetic sequence whose first term is -8and whose common difference is 3.
Is it 10?
1. yes
3. yes
4. no, 1375
5. no; first term is -8, common DIFFERENCE is 3
To find the tenth term of the sequence -6, 1, 8..., you can determine the pattern and apply it to find the desired term.
In this sequence, each term is obtained by adding 7 to the previous term.
Starting from the first term of -6 and adding 7 repeatedly, we get the following terms:
-6, 1, 8, 15, 22, 29, 36, 43, 50, 57.
Therefore, the tenth term of the sequence is indeed 57.
For the sequence 2, 4, 8, 16, etc., we can observe that each term is obtained by multiplying the previous term by 2.
Starting from the first term of 2 and multiplying by 2 repeatedly, we get the following terms:
2, 4, 8, 16, 32, 64.
Thus, the value of s4 (the fourth term) is indeed 16.
For the sequence 1, 2, 4, ... , we can observe that each term is obtained by multiplying the previous term by 2.
Starting from the first term of 1 and multiplying by 2 repeatedly, we get the following terms:
1, 2, 4, 8, 16, 32, 64.
Therefore, the seventh term of the sequence is 64.
To find which term of the sequence 5, 10, 15, ... is equal to 275, we can observe that each term is obtained by adding 5 to the previous term.
Starting from the first term of 5 and adding 5 repeatedly until we reach 275 gives us:
5, 10, 15, 20, 25, 30, 35...
As we can see, the seventh term is not equal to 275.
For an arithmetic sequence with a first term of -8 and a common difference of 3, we can use the formula an = a1 + (n - 1)d to find the nth term. Plugging in the values, we have:
a7 = -8 + (7 - 1) * 3
a7 = -8 + 6 * 3
a7 = -8 + 18
a7 = 10.
Therefore, the seventh term of the arithmetic sequence is indeed 10.