Question

If the second term of GP is 2 and the 11th term is 1 over 25 6 what is the first what is the anthem

Answer 1

Step-by-step explanation:

given,

second term of the g.p is 2

11 th term is 1/256

1 st term is ?

second term= ar= 2->(1)

11 th term = ar¹⁰= 1/256->(2)

divide(2)/(1)

r⁹= 1/512

r⁹= 1/2⁹

r is 0.5->(3)

substitute (3) in (1)

a = 4

so the first term of the arithmetic progression is 4

Answer 2

Answer:

First value of the GP is a = 2.

Step-by-step explanation:

Geometric progression:

• Geometric Progression (GP) is a sort of sequence where each subsequent term is created by multiplying each preceding term by a fixed number, which is known as a common ratio.
• This progression is also known as a pattern-following geometric sequence of numbers.

Given,

Second term of Geometric progression a₂ = ar = 2

Eleventh term of Geometric progression a₁₁ = ar¹⁰ = 1/256

To find the common ratio 'r'

 divide 11th by 2nd term

   ar¹⁰/ar = 2/(1/256)

          r⁹ = 512

          r⁹ = 2⁹

           r = 2

The common ratio of GP is r = 2.

   now substitute r = 2 in  a₂

            ar = 2

         a(2) = 2

             a = 2/2

             a = 1

       Hence, First value of the GP is a = 2.

Know more about Geometric progression:

brainly.in/question/17632276

Know more about Arithmetic progression:

brainly.in/question/6204994