Math, asked by ammrr2258, 8 months ago

If 4,a,b,c,28 are in AP,then c=? *

Answers

Answered by deepakagni2908
2

Answer:

22

Step-by-step explanation:

a+4d=28

4d=28-4

d=6.

to find c

c=a+3d

c=4+6(3)=22

Answered by nafibarli789
0

Answer:

The value of c is 22.

Step-by-step explanation:

A set of numbers exists in an arithmetic progression (AP) or an arithmetic sequence such that the distinction between successive words is unchanged. An integer series exists considered the sum of a finite arithmetic progression.

Given 4, a, b, c, 28 are in A P.

First-term(a)=4--(1)

Fifth term}\left(a_{5}\right)=28$

&\Longrightarrow a+4 d=28 \\

nth term(an) = a + (n – 1)d.

&\Longrightarrow 4+4 d=28 From (1)

&\Longrightarrow 4 d=28-4 \\

&\Longrightarrow d=\frac{24}{4} \\

&\Longrightarrow d=6--(2) \\

Now,c=a_{4} \\

&\Longrightarrow c=a+3 d \\

&\Longrightarrow c=4+3 \times 6 (from (1) and (2))

&\Longrightarrow c=4+18 \\

&\Longrightarrow c=22

Therefore.

Value of c=22

Hence, The value of c is 22.

#SPJ3

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