Question

If for a sequence, tn=5n-3/2n-3, show that the sequence is a Gp. find its first term and the common ratio. ​

Answer 1

Answer:

Step-by-step explanation:

x =140°

step-by-step explanation:

from the figure it can be concluded that ,

70°+a=180°(linear pair)

a=110°

60°+b=180°(linead pair)

sum of all interior angles of a pentagon is 540°.

120°+110°+30°+x+x=540°

260°+2x=540°

2x=540°-260°

2x=240°

x=240°/2

x=140°

hope it

Answer 2

QUESTION:-

IF FOR A SEQUENCE ,TN=5N-3/2N-3,SHOW THAT THE SEQUENCE IS A GP.FIND ITS FIRST TERM AND THE COMMON RATIO.

ANSWER:-

4/25--FIRST TERM

5/2--COMMON RATIO

STEP BY STEP EXAPLANATION

tn=5n-³/2n-³

--》 tn=(5/2)n-³

t¹=(5/2)¹‐³=(5/2)-²=(2/5)²=4/25

t²=(5/2)²-³=(5/2)-¹=(2/5)¹=2/5

t³=(5/2)³-³=(5/2)⁰=1

t⁴=(5/2)⁴-³=(5/2)¹=5/2

t⁵=(5/2)⁵-³=(5/2)²=25/4

4/25 , 2/5 ,1 , 5/2 ,25/4 is the ((GP))

(5/2)n-²/(5/2)n-³

=》 (5/2)(5/2)n-3/(5/2)n-3

=》 5/2

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