Question

a) What is the common difference in 15/4, 27/4, 39/4,...?
b) Find the sum of the first 10 terms.
c) Is there a whole number in
the sequence? Justity​

Answer 1

Answer:

common difference is 3

Sn = 5(2*15/4+9*4)

Sn = 5(15/2 + 36)

= 5(87/2)

= 435/2

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Answer 2

GOOD EVENING FRIEND

HERE'S YOUR ANSWER

a) The common difference between

$\frac{15}{4} \frac{27}{4} \frac{39}{4}$

is that nominator of all these three are odd numbers.

b) SO, as we know their is a difference of 12 in the nominator of the three terms.

So, Start adding 12

$\frac{15}{4} + \frac{12}{4} = \frac{27}{4} \\ \frac{27}{4} + \frac{12}{4} = \frac{39}{4} \\ \frac{39}{4} + \frac{12}{4} = \frac{51}{4} \\ \frac{51}{4} + \frac{12}{4} = \frac{63}{4} \\ \frac{63}{4} + \frac{12}{4} = \frac{75}{4} \\ \frac{75}{4} + \frac{12}{4} = \frac{87}{4} \\ \frac{87}{4} + \frac{12}{4} = \frac{99}{4} \\ \frac{99}{4} + \frac{12}{4} = \frac{111}{4} \\ \frac{111}{4} + \frac{12}{4} = \frac{123}{4} \\ \frac{123}{4} + \frac{12}{4} = \frac{135}{4}$

So now add them,

15 +27 +39+51+63+75+87+99 +111+123

so the answer is 690 upon 4

c) Yes, all the number from 0 to infinity are all whole number.

HOPE IT HELPS YOU

HAVE A GOOD TIME

THANK YOU