# Utech

The 6th term of an A.P is twice the third and the first term is 3. Find the common difference and the 10th term.

1. 👍
2. 👎
3. 👁
1. 3+5d = 2(3+2d)
3+5d = 6+4d
d = 3

So, the sequence is

3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ...

1. 👍
2. 👎
2. as d=3
a10=3+(10-1)3
=30

1. 👍
2. 👎
3. 3+5d=2(3+2d)
3+5d=6+4d
d=3
Imply formula to get the sequence

1. 👍
2. 👎
4. Iam not understand how do you got this answers

1. 👍
2. 👎
5. I don't understand how you got your answer

1. 👍
2. 👎

## Similar Questions

1. ### arithmetic

Determining the first three terms of an ArithmetiC progressionof which the (a.)10th term is 31 and the 15th term is 49 (b.)7th term is 3 and 12th term is -3 (c.)5th term is 8 and the 11th term is -28 (d.)9th term is7+9x and

2. ### h.p.

find the h.p. whose 6th term is 1 and 10th term is 5. find 15th term of the series also.

3. ### geometric progression

the 3rd term of a gpis 10 and the 6th term is 80 find the common ratio No2 if the 2nd term of a gp is 4 and the 5th term is 1over 16,the7th term is_

4. ### Core mathematics

The 4th term of an A.P.is 37 and the 6th term is 12 more than the 4th term.find the 1st and the 7th term of the sequence.

1. ### math

a GP has a first term of A,a common ratio of r and its 6th term is 768. another GP has a first term of a,a common ratio of 6r and its 3rd term is 3456. evaluate a and r

2. ### Arithmetic Progression

In an AP the 6th term is half the 4th term and the 3rd term is 15. a. Find the fist term and the common difference. b. How many times are needed to give a sum that is less than 65?

3. ### math-algebra 1

Find the 6th term of the geometric sequence whose common ratio is 1/3 and whose first term is 7.

4. ### arithmetic

THE SUM OF THE 2ND AND 5TH TERMS OF AN A.P IS 42. IF THE DIFFERENCE BETWEEN THE 6TH AND 3RD TERM IS 12, FIND THE: COMMON DIFFERENCE, 1ST TERM, 20TH TERM.

1. ### Maths

The sixth term of GP is 16 and the third term is 2.Find the first term and common ratio. 6th term =16 3rd term=2 So ar^5=16 and ar^2=2, then divide. So r^3=8, and r^3 =2^3. Therefore r =2 and a=1/2

2. ### Math

The 5th term of the expontential sequence is 4375 and 2nd term is 35, (a) Find the 6th term (b) Sum of the five term

3. ### Math

The 3rd and 9th term of a g.p are 54 and 39,336 respectively.find the 6th term,sum of 4th term,sum of 4th and 7th term and product of 2nd and 5th term

4. ### Math

The 3rd and 6th term of a G.P are 108 and -32 respectively.Find the sum of the first 7th term.