the new sequence would bePeroK said:If ##x = 4##, write out the sequence and see what you get.
alijan kk said:the new sequence would be
4,6,7
it is not a geometric sequence and how can be the fifth term be less than one ?
no I have done it many times. Is there any mistake in the question. ?PeroK said:Exactly. It's not a geometric sequence. Maybe you made a mistake somewhere calculating ##x##.
alijan kk said:no I have done it many times. Is there any mistake in the question. ?
ohhhhPeroK said:Try doing, ##(x +2)^2## carefully.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant value called the common ratio. The general formula for a geometric sequence is an = a1 * rn-1, where an is the nth term, a1 is the first term, and r is the common ratio.
To find the common ratio of a geometric sequence, you can divide any term in the sequence by the previous term. The result will be the common ratio. For example, if a sequence has the terms 2, 4, 8, 16, the common ratio would be 4/2 = 2.
The formula for finding the nth term of a geometric sequence is an = a1 * rn-1. This formula can be used when you know the first term and the common ratio, and you want to find a specific term in the sequence.
To find the value of x, or any term in a geometric sequence, you can use the formula an = a1 * rn-1. Plug in the known values for the first term, the common ratio, and the term number (in this case, the 5th term), and then solve for x.
Yes, a geometric sequence can have negative terms. The common ratio can be a negative number, which means the terms in the sequence will alternate between positive and negative values. For example, a sequence with the terms 1, -2, 4, -8, 16 is a geometric sequence with a common ratio of -2.