Question

Solve for x, where x is a real number. 4x+25 - 2x+ 12 = 1 (If there is more than one solution, separate them with commas.) x = -4, -6 No solution 0/6 696 8 0,0... Jom X S ?

can you answer the second question not first question

Answer 1

Solution for second question:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference.

Arithmetic formula: t(n) = t(1) + (n - 1)d

t(n) is the nth term, t(1) is the first term, and d is the common difference.

A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

Geometric formula: t(n) = t(1) . r(n - 1)

t(n) is the nth term, t(1) is the first term, and r is the common ratio.

Here is the answer for above questions:

(a) 4, 1, 1, 4,...

In this sequence, neither the difference between two consecutive terms is constant nor the ratio between the two consecutive terms is constant.

Hence, the answer is : Neither

(b) 256, 64, 16, 4,...

In this sequence, common ratio (r)= 1/4 (divide every term by the previous term)

Hence, the answer is : Geometric

(c) 7, 9, 11, 13,...

In this question, common difference (d) = 2

d = t(n) - t(n - 1), where t(n) is the last term in the sequence, and t(n - 1) is the previous term in the sequence.

Hence, the answer is : Arithmetic