The term used to describe God's unchanging nature and character is immutable. To understand this concept, the Bible uses figurative language to describe God's immutability.

1. What figures of speech is the psalmist using of Creation? How does the psalmist illustrate God's immutability?

Of old You laid the foundation of the earth,
And the heavens are the work of Your hands.
They will perish, but You will endure;
Yes, they will all grow old like a garment;
Like a cloak You will change them,
And they will be changed.
But You are the same,
And Your years will have no end. (Ps 102:25-27, NKJV)

2. What do you observe about God's immutability when compared to human beings?

God is not a man, that He should lie,
Nor a son of man, that He should repent.
Has He said, and will He not do?
Or has He spoken, and will He not make it good? (Num 23:19, NKJV)

So Samuel said to him, "The Lord has torn the kingdom of Israel from you today, and has given it to a neighbor of yours, who is better than you. And also the Strength of Israel will not lie nor relent. For He is not a man, that He should relent." (1 Sam 15:28-29, NKJV)

3. What do you observe is the real significance of God's immutability? What problems would you perceive if God's nature / character was changeable or evolved with culture?

Since you have purified your souls in obeying the truth through the Spirit in sincere love of the brethren, love one another fervently with a pure heart, having been born again, not of corruptible seed but incorruptible, through the word of God which lives and abides forever, because
"All flesh is as grass,
And all the glory of man as the flower of the grass.
The grass withers,
And its flower falls away,
But the word of the Lord endures forever. (1 Pet 1:22-25, NKJV)

4. What do you observe about Jesus' nature / character?

Heaven and earth will pass away, but My words will by no means pass away. (Matt 24:35, NKJV)

Jesus Christ is the same yesterday, today, and forever. (Heb 13:8, NKJV)

Do you not believe that I am in the Father, and the Father in Me? The words that I speak to you I do not speak on My own authority; but the Father who dwells in Me does the works. (John 14:10, NKJV)