Question

an organisation has 32 members. it hopes to increase the membership by 50% each year . if this is done how many members will the organisation have in 5 years​

Answer 1

Answer: Organisation will have 160 members in 5 years

Step-by-step explanation: No. of members increases by 50%

therefore,

A.p=32,64,128,192,256

a=32,d=32,n=5

formula,

tn=a+(n-1)×d

t5=32+(5-1)×32

=32+4×32

=160

t5=160

Answer 2

The number  of members will the organisation have in 5 years​ is 243.

Step-by-step explanation:

Given:

An  organisation has 32 member.

To increase the membership by 50% each year.

The organisation have in 5 years​

To Find:

The number  of members will the organisation have in 5 years​.

Solution:

As given, an  organisation has 32 members.

The number of members in the organisation =32

As given, to increase the membership by 50% each year.

Members in the organisation  increase  every year = 50%

The number of members in the organisation in one year

                                                 $=32( 1+\frac{50}{100} )=32( 1+\frac{1}{2} )=32\times \frac{3}{2}$

Therefore,the number of members in the organisation in five  year

                       $=32\times \frac{3}{2} \times \frac{3}{2} \times \frac{3}{2} \times \frac{3}{2} \times \frac{3}{2}$

                       $=32\times\frac{243}{32}$

                       $=243$

Thus,the number  of members will the organisation have in 5 years​ is 243.

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