What kind of sequence is 2/10 50250?

This is a geometric sequence since there is a common ratio between each term.

Explanation: In a Geometric sequence, the ratio of each term to its preceding term is always constant and is known as common ratio r . Here, we observe that the ratios 50250=1050=210 are all 15 .

2 , − 10 , 50 , . . . The first term of the sequence (a)=2 . The common ratio of the sequence (r)=−102=50−10=−5 ( r ) = − 10 2 = 50 − 10 = − 5 . So, the next term of the given geometric sequence is −250.

First term of the series is 2. Common ratio is r. Therefore , the sum of geometric sequence 2,10,50… upto 8 terms is 195312.

A geometric sequence Is a sequence such that each successive term is obtained from the previous term by multiplying by a fixed number called a common ratio.

2,10,50,250… In this geometric sequence, the common ratio, or r, equals 5. As the sequence progresses, each term is multiplied by 5.

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

So, the 5th term of the sequence = 5×(4th term of the sequence) = 5×250 = 1250.

Ans→A.

If the sequence has a common difference, it’s arithmetic. If it’s got a common ratio, you can bet it’s geometric.

{2,−2,2,−2,2} Is a geometric sequence because the common ratio is −1.

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term. For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6. An arithmetic sequence can be known as an arithmetic progression.

To calculate the common ratio in a geometric sequence, Divide the n^th term by the (n – 1)^th term. Start with the last term and divide by the preceding term. Continue to divide several times to be sure there is a common ratio.

A recursive formula for a geometric sequence with common ratio r is given by An=ran–1 for n≥2.

‘ The new term in an arithmetic sequence is obtained by adding or subtracting a fixed value from the previous term. In contrast to geometric sequence, The new term is found by multiplying or dividing a fixed value from the previous term. The variation between the members of an arithmetic sequence is linear.

There are four main types of different sequences you need to know, they are Arithmetic sequences, geometric sequences, quadratic sequences and special sequences.

Quadratic sequences are Ordered sets of numbers that follow a rule based on the sequence n² = 1, 4, 9, 16, 25,… (the square numbers). Quadratic sequences always include an n² Term.

This sequence has a constant difference between consecutive terms. In other words, a linear sequence results from taking the first differences of a quadratic sequence. If the sequence is quadratic, the nth term is of the form Tn=an2+bn+c. In each case, the common second difference is a 2a.