Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

For an A.P. ,The first two term are -3, 4. The 21st term is



Sagot :

Answer:

The 21st term is 137.

Step-by-step explanation:

Arithmetic progression:

In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.

The nth term is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

The first two terms are -3, 4.

This means that [tex]a_1 = -3, d = 4 - (-3) = 7[/tex]

So

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = -3 + 7(n-1)[/tex]

The 21st term is

[tex]a_{21} = -3 + 7(21-1) = -3 + 140 = 137[/tex]

The 21st term is 137.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.