Question

In each of the following list three terms that continue the arithmetic or geometric sequences. Identify the sequences as arithmetic or geometric. a.)1,8,15,22,29 b.)2,4,8,16,32 c.)8,10,12,14,16 a.)the next three arithmetic of 1,8,15,22,29 are____,___,and

Answer 1

Answer:

a) A.P

b) G.P

c) A.P

d) 36,43 and 50

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Answer 2

Answer:

Step-by-step explanation:

1. A.P. 8-1 = 15-8 = 22-15 =...... = 7  (COMMON DIFFERENCE)

2. G.P.  4/2 = 8/4 = 16/8 = ......... = 2 ( COMMON RATIO)

3. A.P. 10-8 = 12-10 = 14-12 = 2 (COMMON DIFFERENCE)

29 +7 =36

36 + 7 =43

43+7 =50  

(TO FIND THE NEXT TERMS OF AN A.P. JUST ADD THE COMMON DIFFERENCE TO THE PREVIOUS TERM OR YOU MAY USE THE FORMULA:

$T_{n} = a + (n-1)d$

where Tn is the nth term , a is the first term of the A.P. n the term which we need to find (it must be a natural no.) , d is the common difference

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